Question

PHÂN TÍCH THÀNH NHÂN TỬ

`x^2 -x-12`

`x^2 -5x-24`

`3x^2 +13x-10`

Answer 1

a) \(x^2-x-12\)

\(=x^2-4x+3x-12\)

\(=\left(x^2-4x\right)+\left(3x-12\right)\)

\(=x\left(x-4\right)+3\left(x-4\right)\)

\(=\left(x+3\right)\left(x-4\right)\)

b) \(x^2-5x-24\)

\(=x^2-8x+3x-24\)

\(=\left(x^2-8x\right)+\left(3x-24\right)\)

\(=x\left(x-8\right)+3\left(x-8\right)\)

\(=\left(x+3\right)\left(x-8\right)\)

c) \(3x^2+13x-10\)

\(=3x^2+15x-2x-10\)

\(=\left(3x^2+15x\right)-\left(2x+10\right)\)

\(=3x\left(x+5\right)-2\left(x+5\right)\)

\(=\left(3x-2\right)\left(x+5\right)\)

Answer 2

a: =x^2-4x+3x-12

=x(x-4)+3(x-4)

=(x-4)(x+3)

b: =x^2-8x+3x-24

=x(x-8)+3(x-8)

=(x-8)(x+3)

c: =3x^2+15x-2x-10

=3x(x+5)-2(x+5)

=(x+5)(3x-2)