\(6a^4+7a^3-37a^2-8a+12\)
\(=6a^4-12a^3+19a^3-38a^2+a^2-2a-6a+12\)
\(=6a^3\left(a-2\right)+19a^2\left(a-2\right)+a\left(a-2\right)-6\left(a-2\right)\)
\(=\left(a-2\right)\left(6a^3+19a^2+a-6\right)\)
\(6a^4+7a^3-37a^2-8a+12\)
\(=6a^4-12a^3+19a^3-38a^2+a^2-2a-6a+12\)
\(=6a^3\left(a-2\right)+19a^2\left(a-2\right)+a\left(a-2\right)-6\left(a-2\right)\)
\(=\left(a-2\right)\left(6a^3+19a^2+a-6\right)\)
Phân tích đa thức thành nhân tử \(6a^4+7a^3-37a^2-8a+12.\)
PTDTTNT:
\(\text{a) }6a^4+7a^3-37a^2-8a+12\)
\(\text{b) }\left(x^2+4x+8\right)^2+3x^3+14x^2+24x\)
phan tich da thuc thanh nhan tu \(4a^2b-4ab^2+9a-9b-6a^2+6b^2\)
phan tich da thuc thanh nhan tu
a) m^2 -7m +12
b) 2x^4 -x^3 -54x +27
phan tich cac da thuc sau thanh nhan tu a)x^2+4x+3 b) 4x^2+4x-3 c) x^2-x-12 d)4x^4+4x^2y^2-8y^4
(x^2+x)^2+4x^2+4x-12 phan tich da thuc thanh nhan tu
x^4+x^3-9x^2+10x-8 phan tich da thuc thanh nhan tu
phan tich thanh nhan tu
x3+3x2-4
phan tich thanh nhan tu
x3+x2-4x-4