{"id":34012,"date":"2026-10-12T15:37:35","date_gmt":"2026-10-12T08:37:35","guid":{"rendered":"https:\/\/etest.edu.vn\/?p=34012"},"modified":"2026-10-12T15:39:39","modified_gmt":"2026-10-12T08:39:39","slug":"chia-da-thuc-trong-sat-math","status":"publish","type":"post","link":"https:\/\/etest.edu.vn\/en\/chia-da-thuc-trong-sat-math\/","title":{"rendered":"Chia \u0111a th\u1ee9c trong SAT Math: Quy t\u1eafc, ph\u01b0\u01a1ng ph\u00e1p v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">In <\/span><a href=\"https:\/\/etest.edu.vn\/en\/sat-math\/\"><span style=\"font-weight: 400;\">SAT Math<\/span><\/a><span style=\"font-weight: 400;\">, \u0111a th\u1ee9c (Polynomial) l\u00e0 m\u1ed9t ph\u1ea7n ki\u1ebfn th\u1ee9c quan tr\u1ecdng thu\u1ed9c nh\u00f3m Advanced Math, li\u00ean quan \u0111\u1ebfn nhi\u1ec1u k\u1ef9 n\u0103ng nh\u01b0 bi\u1ebfn \u0111\u1ed5i bi\u1ec3u th\u1ee9c, ph\u00e2n t\u00edch nh\u00e2n t\u1eed, gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 x\u1eed l\u00fd ph\u00e2n th\u1ee9c \u0111\u1ea1i s\u1ed1. Trong \u0111\u00f3, chia \u0111a th\u1ee9c (Polynomial Division) gi\u00fap h\u1ecdc sinh x\u00e1c \u0111\u1ecbnh th\u01b0\u01a1ng, s\u1ed1 d\u01b0 v\u00e0 m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c bi\u1ec3u th\u1ee9c \u0111\u1ea1i s\u1ed1.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tuy nhi\u00ean, kh\u00f4ng \u00edt h\u1ecdc sinh g\u1eb7p kh\u00f3 kh\u0103n khi th\u1ef1c hi\u1ec7n ph\u00e9p chia d\u00e0i, \u0111\u1eb7c bi\u1ec7t v\u1edbi c\u00e1c \u0111a th\u1ee9c c\u00f3 nhi\u1ec1u h\u1ea1ng t\u1eed, h\u1ec7 s\u1ed1 \u00e2m ho\u1eb7c b\u1eadc kh\u00e1c nhau. \u0110\u1ec3 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 n\u00e0y, <\/span><b>ETEST<\/b><span style=\"font-weight: 400;\"> s\u1ebd h\u1ec7 th\u1ed1ng h\u00f3a kh\u00e1i ni\u1ec7m <\/span><a href=\"https:\/\/etest.edu.vn\/en\/chia-da-thuc-trong-sat-math\/\"><b>chia \u0111a th\u1ee9c trong SAT Math<\/b><\/a><span style=\"font-weight: 400;\"> v\u00e0 t\u1ed5ng h\u1ee3p c\u00e1c c\u00f4ng th\u1ee9c \u0111\u1ec3 gi\u00fap h\u1ecdc sinh c\u00f3 th\u1ec3 l\u1ef1a ch\u1ecdn ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u00f9 h\u1ee3p qua b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y<\/span><\/p>\n<h2><b>Chia \u0111a th\u1ee9c l\u00e0 g\u00ec? (Polynomial Division)<\/b><\/h2>\n<h3><b>1. Kh\u00e1i ni\u1ec7m \u0111a th\u1ee9c (Polynomial)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110a th\u1ee9c l\u00e0 m\u1ed9t bi\u1ec3u th\u1ee9c \u0111\u1ea1i s\u1ed1 g\u1ed3m t\u1ed5ng ho\u1eb7c hi\u1ec7u c\u1ee7a c\u00e1c \u0111\u01a1n th\u1ee9c, trong \u0111\u00f3 s\u1ed1 m\u0169 c\u1ee7a bi\u1ebfn l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean kh\u00f4ng \u00e2m.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: P(x)=3x\u00b3-2x\u00b2+5x-4<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In there:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3x\u00b3; -2x\u00b2; 5x; -4 l\u00e0 c\u00e1c h\u1ea1ng t\u1eed (Terms).\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3; \u22122; 5; \u22124: c\u00e1c h\u1ec7 s\u1ed1 (Coefficients).\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">x: bi\u1ebfn s\u1ed1 (Variable).\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u1eadc c\u1ee7a \u0111a th\u1ee9c l\u00e0 3.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 \u0111a th\u1ee9c b\u1eadc 3 v\u00ec s\u1ed1 m\u0169 l\u1edbn nh\u1ea5t c\u1ee7a bi\u1ebfn (x) l\u00e0 3.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">D\u1ef1a tr\u00ean s\u1ed1 l\u01b0\u1ee3ng h\u1ea1ng t\u1eed, \u0111a th\u1ee9c c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i th\u00e0nh:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Monomial (\u0110\u01a1n th\u1ee9c): \u0110a th\u1ee9c c\u00f3 m\u1ed9t h\u1ea1ng t\u1eed, v\u00ed d\u1ee5 (5x\u00b2).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Binomial (Nh\u1ecb th\u1ee9c): \u0110a th\u1ee9c c\u00f3 hai h\u1ea1ng t\u1eed, v\u00ed d\u1ee5 (x+3).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Trinomial (Tam th\u1ee9c): \u0110a th\u1ee9c c\u00f3 ba h\u1ea1ng t\u1eed, v\u00ed d\u1ee5 (x\u00b2+5x+6).<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Vi\u1ec7c nh\u1eadn di\u1ec7n \u0111\u00fang c\u00e1c h\u1ea1ng t\u1eed v\u00e0 b\u1eadc c\u1ee7a \u0111a th\u1ee9c l\u00e0 b\u01b0\u1edbc n\u1ec1n t\u1ea3ng tr\u01b0\u1edbc khi th\u1ef1c hi\u1ec7n ph\u00e9p chia.<\/span><\/p>\n<h3><b>2. Kh\u00e1i ni\u1ec7m ph\u00e9p chia \u0111a th\u1ee9c<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Chia \u0111a th\u1ee9c l\u00e0 ph\u00e9p to\u00e1n t\u00ecm th\u01b0\u01a1ng v\u00e0 s\u1ed1 d\u01b0 khi l\u1ea5y m\u1ed9t \u0111a th\u1ee9c chia cho m\u1ed9t \u0111a th\u1ee9c kh\u00e1c kh\u00e1c 0.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">M\u1ed9t ph\u00e9p chia \u0111a th\u1ee9c c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">P(x)=D(x).Q(x)+R(x)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In there:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">P(x): \u0110a th\u1ee9c b\u1ecb chia (Dividend).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">D(x): \u0110a th\u1ee9c chia (Divisor).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Q(x): Th\u01b0\u01a1ng (Quotient).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">R(x): S\u1ed1 d\u01b0 (Remainder).<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110i\u1ec1u ki\u1ec7n quan tr\u1ecdng:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">deg R(x) &lt; deg D(x)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3, deg\u2061 bi\u1ec3u th\u1ecb b\u1eadc c\u1ee7a \u0111a th\u1ee9c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For example:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">X\u00e9t ph\u00e9p chia: (x\u00b2+3x+5):(x+1)\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3: x\u00b2+3x+5=(x+1).(x+2) + 3<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do \u0111\u00f3: Q(x)=x+2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">R(x)=3<\/span><\/p>\n<p><span style=\"font-weight: 400;\">N\u1ebfu s\u1ed1 d\u01b0 b\u1eb1ng 0, ph\u00e9p chia \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 ph\u00e9p chia h\u1ebft (Exact Division).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: x\u00b2+5x+6=(x+2)(x+3)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3: Q(x)=(x+3)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">R(x)=0<\/span><\/p>\n<h2><b>Quy t\u1eafc v\u00e0 c\u00f4ng th\u1ee9c chia \u0111a th\u1ee9c trong SAT Math<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Khi chia hai \u0111\u01a1n th\u1ee9c c\u00f3 c\u00f9ng bi\u1ebfn, ta chia c\u00e1c h\u1ec7 s\u1ed1 v\u00e0 tr\u1eeb c\u00e1c s\u1ed1 m\u0169 c\u1ee7a bi\u1ebfn t\u01b0\u01a1ng \u1ee9ng<\/span><\/p>\n<p><strong>Recipe:<\/strong><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-34014\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-1.png\" alt=\"c\u00f4ng th\u1ee9c chia \u0111a th\u1ee9c trong SAT Math\" width=\"204\" height=\"105\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-1.png 204w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-1-18x9.png 18w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">(V\u1edbi b\u22600 v\u00e0 c\u00e1c s\u1ed1 m\u0169 ph\u00f9 h\u1ee3p v\u1edbi ph\u00e9p chia \u0111ang x\u00e9t)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: 5x\u2076 \/5x\u00b2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Gi\u1ea3i th\u00edch:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Chia h\u1ec7 s\u1ed1: (15:5=3).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Tr\u1eeb s\u1ed1 m\u0169: (6-2=4).<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">V\u1eady k\u1ebft qu\u1ea3 l\u00e0 3x\u2074<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 l\u01b0u \u00fd khi th\u1ef1c hi\u1ec7n ph\u00e9p chia:<\/span><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">S\u1eafp x\u1ebfp c\u00e1c h\u1ea1ng t\u1eed theo s\u1ed1 m\u0169 gi\u1ea3m d\u1ea7n.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">N\u1ebfu thi\u1ebfu m\u1ed9t b\u1eadc, c\u00f3 th\u1ec3 th\u00eam h\u1ea1ng t\u1eed c\u00f3 h\u1ec7 s\u1ed1 0 \u0111\u1ec3 gi\u1eef \u0111\u00fang v\u1ecb tr\u00ed.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Khi th\u1ef1c hi\u1ec7n ph\u00e9p tr\u1eeb, c\u1ea7n \u0111\u1ed5i d\u1ea5u to\u00e0n b\u1ed9 h\u1ea1ng t\u1eed c\u1ee7a bi\u1ec3u th\u1ee9c b\u1ecb tr\u1eeb.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">D\u1eebng ph\u00e9p chia khi b\u1eadc c\u1ee7a ph\u1ea7n d\u01b0 nh\u1ecf h\u01a1n b\u1eadc c\u1ee7a s\u1ed1 chia.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Khi r\u00fat g\u1ecdn ph\u00e2n th\u1ee9c, ph\u1ea3i gi\u1eef l\u1ea1i \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh c\u1ee7a bi\u1ec3u th\u1ee9c ban \u0111\u1ea7u.<\/span><\/li>\n<\/ul>\n<h2><b>H\u01b0\u1edbng d\u1eabn 4 b\u01b0\u1edbc chia \u0111a th\u1ee9c b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p chia d\u00e0i (Polynomial Long Division)<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Ph\u01b0\u01a1ng ph\u00e1p chia d\u00e0i l\u00e0 c\u00e1ch th\u1ef1c hi\u1ec7n ph\u00e9p chia \u0111a th\u1ee9c theo tr\u00ecnh t\u1ef1 t\u01b0\u01a1ng t\u1ef1 ph\u00e9p chia s\u1ed1 nguy\u00ean. Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch khi c\u1ea7n t\u00ecm \u0111\u1ea7y \u0111\u1ee7 th\u01b0\u01a1ng v\u00e0 s\u1ed1 d\u01b0.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">X\u00e9t v\u00ed d\u1ee5: (2x\u00b2+5x+3):(x+1)<\/span><\/p>\n<h3><b>B\u01b0\u1edbc 1: S\u1eafp x\u1ebfp c\u00e1c h\u1ea1ng t\u1eed theo s\u1ed1 m\u0169 gi\u1ea3m d\u1ea7n<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110a th\u1ee9c b\u1ecb chia: 2x\u00b2+5x+3<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110a th\u1ee9c chia: x+1<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u1ea3 hai \u0111\u00e3 \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp theo s\u1ed1 m\u0169 gi\u1ea3m d\u1ea7n n\u00ean c\u00f3 th\u1ec3 b\u1eaft \u0111\u1ea7u th\u1ef1c hi\u1ec7n ph\u00e9p chia.<\/span><\/p>\n<h3><b>B\u01b0\u1edbc 2: Chia h\u1ea1ng t\u1eed c\u00f3 b\u1eadc cao nh\u1ea5t<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">L\u1ea5y h\u1ea1ng t\u1eed b\u1eadc cao nh\u1ea5t c\u1ee7a \u0111a th\u1ee9c b\u1ecb chia chia cho h\u1ea1ng t\u1eed b\u1eadc cao nh\u1ea5t c\u1ee7a \u0111a th\u1ee9c chia:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">2x\u00b2\/x=2x<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady h\u1ea1ng t\u1eed \u0111\u1ea7u ti\u00ean c\u1ee7a th\u01b0\u01a1ng l\u00e0 (2x).<\/span><\/p>\n<h3><b>B\u01b0\u1edbc 3: Nh\u00e2n th\u01b0\u01a1ng v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c v\u1edbi s\u1ed1 chia\u00a0<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Nh\u00e2n (2x) v\u1edbi to\u00e0n b\u1ed9 \u0111a th\u1ee9c chia:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">2x(x+1)=2x\u00b2+2x<\/span><\/p>\n<h3><b>B\u01b0\u1edbc 4: Th\u1ef1c hi\u1ec7n ph\u00e9p tr\u1eeb<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">(2x\u00b2+5x+3)-(2x\u00b2+2x) = 3x+3<\/span><\/p>\n<h3><b>B\u01b0\u1edbc 5: L\u1eb7p l\u1ea1i ph\u00e9p chia \u0111\u1ebfn khi t\u00ecm \u0111\u01b0\u1ee3c s\u1ed1 d\u01b0<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp t\u1ee5c l\u1ea5y h\u1ea1ng t\u1eed b\u1eadc cao nh\u1ea5t c\u1ee7a ph\u1ea7n c\u00f2n l\u1ea1i chia cho h\u1ea1ng t\u1eed b\u1eadc cao nh\u1ea5t c\u1ee7a s\u1ed1 chia:<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-34017 size-full\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-4.png\" alt=\"Ph\u01b0\u01a1ng ph\u00e1p chia \u0111a th\u1ee9c b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p chia d\u00e0i (Polynomial Long Division)\" width=\"472\" height=\"498\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-4.png 472w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-4-379x400.png 379w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-4-11x12.png 11w\" sizes=\"(max-width: 472px) 100vw, 472px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec s\u1ed1 d\u01b0 b\u1eb1ng 0 n\u00ean (x+1) l\u00e0 m\u1ed9t nh\u00e2n t\u1eed c\u1ee7a (2x\u00b2+5x+3).<\/span><\/p>\n<h3><b>M\u1eb9o ki\u1ec3m tra k\u1ebft qu\u1ea3<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Sau khi ho\u00e0n th\u00e0nh ph\u00e9p chia, c\u00f3 th\u1ec3 ki\u1ec3m tra b\u1eb1ng c\u00f4ng th\u1ee9c:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">P(x)=D(x)\u22c5Q(x)+R(x)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Thay k\u1ebft qu\u1ea3 v\u00e0o:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">(x+1)(2x+3)+0 =2x\u00b2+5x+3<\/span><\/p>\n<p><span style=\"font-weight: 400;\">K\u1ebft qu\u1ea3 tr\u00f9ng v\u1edbi \u0111a th\u1ee9c ban \u0111\u1ea7u n\u00ean ph\u00e9p chia ch\u00ednh x\u00e1c.<\/span><\/p>\n<h2><b>B\u00e0i t\u1eadp chia \u0111a th\u1ee9c trong SAT Math<\/b><\/h2>\n<h3><b>B\u00e0i t\u1eadp 1: What is the quotient when x\u00b2+7x+12 is divided by x+3?<\/b><\/h3>\n<ol>\n<li><span style=\"font-weight: 400;\"> x+3<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> x+4<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> x\u22124<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> x+12<\/span><\/li>\n<\/ol>\n<p><b>L\u1eddi gi\u1ea3i:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3: x\u00b2+7x+12=(x+3)(x+4)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do \u0111\u00f3: Q(x)=x+4\u200b\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n: B<\/span><\/p>\n<h3><b>B\u00e0i t\u1eadp 2: When P(x)=x\u00b3\u22122\u00b2+3x+5 is divided by x\u22122, what is the remainder?<\/b><\/h3>\n<ol>\n<li><span style=\"font-weight: 400;\"> 5<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 7<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 9<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 11<\/span><\/li>\n<\/ol>\n<h3><b>B\u00e0i t\u1eadp 3: Which of the following is a factor of x\u00b3\u22124x\u00b2\u2212x+4?<\/b><\/h3>\n<ol>\n<li><span style=\"font-weight: 400;\"> x\u22121<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> x\u22122<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> x+2<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> x+3<\/span><\/li>\n<\/ol>\n<h3><b>B\u00e0i t\u1eadp 4: What is a root of x(x \u2013 1)(x + 1) = 27 \u2013 x?\u00a0<\/b><\/h3>\n<ol>\n<li><span style=\"font-weight: 400;\"> \u20139\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> \u20131\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 3\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 1\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 9\u00a0<\/span><\/li>\n<\/ol>\n<h3><b>B\u00e0i t\u1eadp 5: What are the factors of 2x\u00b3 + 8x\u00b2 \u2013 192x?<\/b><\/h3>\n<ol>\n<li><span style=\"font-weight: 400;\"> 2(x \u2013 8)(x + 12)\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 2x(x \u2013 8)(x + 12)\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> x(2x \u2013 8)(x + 24)\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 2x(x + 16)(x \u2013 12)\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> 2(x\u00b2 \u2013 8x)(x\u00b2 + 12x)\u00a0<\/span><\/li>\n<\/ol>\n<h2><b>T\u1eeb v\u1ef1ng ti\u1ebfng Anh v\u1ec1 chia \u0111a th\u1ee9c trong SAT Math<\/b><\/h2>\n<table>\n<tbody>\n<tr>\n<td><b>Vocabulary<\/b><\/td>\n<td><b>IPA<\/b><\/td>\n<td><b>Vietnamese Meaning<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Polynomial<\/b><\/td>\n<td><b>\/\u02ccp\u0251\u02d0li\u02c8no\u028ami\u0259l\/<\/b><\/td>\n<td><b>\u0110a th\u1ee9c<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Monomial<\/b><\/td>\n<td><b>\/\u02ccm\u0251\u02d0n\u0259\u02c8mo\u028ami\u0259l\/<\/b><\/td>\n<td><b>\u0110\u01a1n th\u1ee9c<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Binomial<\/b><\/td>\n<td><b>\/ba\u026a\u02c8no\u028ami\u0259l\/<\/b><\/td>\n<td><b>Nh\u1ecb th\u1ee9c<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Trinomial<\/b><\/td>\n<td><b>\/tra\u026a\u02c8no\u028ami\u0259l\/<\/b><\/td>\n<td><b>Tam th\u1ee9c<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Term<\/b><\/td>\n<td><b>\/t\u025c\u02d0rm\/<\/b><\/td>\n<td><b>H\u1ea1ng t\u1eed<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Coefficient<\/b><\/td>\n<td><b>\/\u02ccko\u028a\u0259\u02c8f\u026a\u0283\u0259nt\/<\/b><\/td>\n<td><b>H\u1ec7 s\u1ed1<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Variable<\/b><\/td>\n<td><b>\/\u02c8veri\u0259b\u0259l\/<\/b><\/td>\n<td><b>Bi\u1ebfn s\u1ed1<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Constant<\/b><\/td>\n<td><b>\/\u02c8k\u0251\u02d0nst\u0259nt\/<\/b><\/td>\n<td><b>H\u1eb1ng s\u1ed1<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Degree<\/b><\/td>\n<td><b>\/d\u026a\u02c8\u0261ri\u02d0\/<\/b><\/td>\n<td><b>B\u1eadc c\u1ee7a \u0111a th\u1ee9c<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Dividend<\/b><\/td>\n<td><b>\/\u02c8d\u026av\u026adend\/<\/b><\/td>\n<td><b>S\u1ed1 b\u1ecb chia<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Divisor<\/b><\/td>\n<td><b>\/d\u026a\u02c8va\u026az\u0259r\/<\/b><\/td>\n<td><b>S\u1ed1 chia<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Quotient<\/b><\/td>\n<td><b>\/\u02c8kwo\u028a\u0283\u0259nt\/<\/b><\/td>\n<td><b>Th\u01b0\u01a1ng<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Remainder<\/b><\/td>\n<td><b>\/r\u026a\u02c8me\u026and\u0259r\/<\/b><\/td>\n<td><b>S\u1ed1 d\u01b0<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Polynomial Division<\/b><\/td>\n<td><b>\/\u02ccp\u0251\u02d0li\u02c8no\u028ami\u0259l d\u026a\u02c8v\u026a\u0292\u0259n\/<\/b><\/td>\n<td><b>Ph\u00e9p chia \u0111a th\u1ee9c<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Factor<\/b><\/td>\n<td><b>\/\u02c8f\u00e6kt\u0259r\/<\/b><\/td>\n<td><b>Nh\u00e2n t\u1eed<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Root<\/b><\/td>\n<td><b>\/ru\u02d0t\/<\/b><\/td>\n<td><b>Nghi\u1ec7m<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Denominator<\/b><\/td>\n<td><b>\/d\u026a\u02c8n\u0251\u02d0m\u0259\u02ccne\u026at\u0259r\/<\/b><\/td>\n<td><b>M\u1eabu s\u1ed1<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Numerator<\/b><\/td>\n<td><b>\/\u02c8nu\u02d0m\u0259\u02ccne\u026at\u0259r\/<\/b><\/td>\n<td><b>T\u1eed s\u1ed1<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Undefined<\/b><\/td>\n<td><b>\/\u02cc\u028cnd\u026a\u02c8fa\u026and\/<\/b><\/td>\n<td><b>Kh\u00f4ng x\u00e1c \u0111\u1ecbnh<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Equivalent Expression<\/b><\/td>\n<td><b>\/\u026a\u02c8kw\u026av\u0259l\u0259nt \u026ak\u02c8spre\u0283\u0259n\/<\/b><\/td>\n<td><b>Bi\u1ec3u th\u1ee9c t\u01b0\u01a1ng \u0111\u01b0\u01a1ng<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Simplify<\/b><\/td>\n<td><b>\/\u02c8s\u026ampl\u026afa\u026a\/<\/b><\/td>\n<td><b>R\u00fat g\u1ecdn<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Like Terms<\/b><\/td>\n<td><b>\/la\u026ak t\u025c\u02d0rmz\/<\/b><\/td>\n<td><b>C\u00e1c h\u1ea1ng t\u1eed \u0111\u1ed3ng d\u1ea1ng<\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><b>Luy\u1ec7n SAT Math theo l\u1ed9 tr\u00ecnh c\u00e1 nh\u00e2n h\u00f3a t\u1ea1i <\/b><b>ETEST<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 \u0111\u1ea1t k\u1ebft qu\u1ea3 t\u1ed1t trong SAT Math, h\u1ecdc sinh kh\u00f4ng ch\u1ec9 c\u1ea7n h\u1ecdc thu\u1ed9c c\u00f4ng th\u1ee9c m\u00e0 c\u00f2n ph\u1ea3i hi\u1ec3u v\u00ec sao s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c \u0111\u00f3, nh\u1eadn di\u1ec7n d\u1ea1ng b\u00e0i v\u00e0 l\u1ef1a ch\u1ecdn c\u00e1ch gi\u1ea3i ph\u00f9 h\u1ee3p.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In <\/span><a href=\"https:\/\/etest.edu.vn\/en\/\"><b>ETEST<\/b><\/a><span style=\"font-weight: 400;\">, h\u1ecdc sinh \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng <\/span><a href=\"https:\/\/etest.edu.vn\/en\/7-buoc-hoc-sat-hieu-qua\/\"><b>l\u1ed9 tr\u00ecnh luy\u1ec7n SAT<\/b><\/a><span style=\"font-weight: 400;\"> d\u1ef1a tr\u00ean n\u0103ng l\u1ef1c v\u00e0 m\u1ee5c ti\u00eau c\u00e1 nh\u00e2n, k\u1ebft h\u1ee3p c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c n\u1ec1n, luy\u1ec7n t\u1eadp theo t\u1eebng nh\u00f3m k\u1ef9 n\u0103ng v\u00e0 r\u00e8n kh\u1ea3 n\u0103ng x\u1eed l\u00fd c\u00e2u h\u1ecfi Digital SAT. \u0110\u1ed9i ng\u0169 gi\u00e1o vi\u00ean c\u00f3 th\u00e0nh t\u00edch <\/span><b>SAT 1600\/1600<\/b><span style=\"font-weight: 400;\"> \u0111\u1ed3ng h\u00e0nh c\u00f9ng h\u1ecdc sinh trong qu\u00e1 tr\u00ecnh h\u1ecdc v\u00e0 gi\u1ea3i \u0111\u00e1p nh\u1eefng \u0111i\u1ec3m c\u00f2n ch\u01b0a v\u1eefng.<\/span><\/p>\n<p><a href=\"https:\/\/etest.edu.vn\/en\/doi-ngu-giao-vien\/\"><b>T\u01b0 v\u1ea5n l\u1ed9 tr\u00ecnh 1:1 c\u00f9ng gi\u00e1o vi\u00ean \u0111\u1ea1t 1600\/1600 SAT<\/b><\/a><span style=\"font-weight: 400;\"> \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh n\u1ec1n t\u1ea3ng hi\u1ec7n t\u1ea1i v\u00e0 x\u00e2y d\u1ef1ng h\u01b0\u1edbng \u00f4n luy\u1ec7n ph\u00f9 h\u1ee3p v\u1edbi m\u1ee5c ti\u00eau SAT.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-34015\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-2.jpg\" alt=\"Luy\u1ec7n SAT Math theo l\u1ed9 tr\u00ecnh c\u00e1 nh\u00e2n h\u00f3a t\u1ea1i ETEST\" width=\"1920\" height=\"1080\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-2.jpg 1920w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-2-711x400.jpg 711w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-2-1400x788.jpg 1400w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-2-768x432.jpg 768w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-2-1536x864.jpg 1536w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/chia-da-thuc-trong-sat-math-2-18x10.jpg 18w\" sizes=\"(max-width: 1920px) 100vw, 1920px\" \/><\/p>\n<div style=\"text-align: center; margin: 28px 0;\"><a style=\"display: inline-block; background: linear-gradient(135deg,#b32025 0%,#d9363e 100%); color: #ffffff !important; font-size: 18px; font-weight: bold; text-decoration: none; padding: 16px 34px; border-radius: 50px; box-shadow: 0 8px 20px rgba(179,32,37,0.25); transition: all 0.3s ease; letter-spacing: 0.3px;\" href=\"https:\/\/etest.edu.vn\/en\/khoa-hoc\/luyen-thi-sat\/\" target=\"_blank\" rel=\"noopener\">XEM KH\u00d3A H\u1eccC LUY\u1ec6N THI SAT<\/a><\/div>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-left kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;left&quot;,&quot;id&quot;:&quot;34012&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;\u0110\u00e1nh gi\u00e1 b\u00e0i vi\u1ebft&quot;,&quot;legend&quot;:&quot;0\\\/5 - (0 votes)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;Chia \u0111a th\u1ee9c trong SAT Math: 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Trong \u0111\u00f3, chia \u0111a th\u1ee9c (Polynomial Division) gi\u00fap h\u1ecdc sinh x\u00e1c \u0111\u1ecbnh th\u01b0\u01a1ng, [&#8230;]","protected":false},"author":21,"featured_media":34016,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[285,1],"tags":[],"class_list":["post-34012","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sat","category-tin-tuc"],"acf":[],"_links":{"self":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34012","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/comments?post=34012"}],"version-history":[{"count":3,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34012\/revisions"}],"predecessor-version":[{"id":34019,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34012\/revisions\/34019"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/media\/34016"}],"wp:attachment":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/media?parent=34012"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/categories?post=34012"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/tags?post=34012"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}