Question

Factoreach expression. 8x 3 + 28x 2 + 40x

Answer 1

Hello :)

First, find the common factor of all of the terms.

8x^3

4 ⋅ 2 = 8

x ⋅ x ⋅ x = $x^{3}$

28x^2

4 ⋅ 7 = 28

x ⋅ x= $x^{2}$

40x

4 ⋅ 10 = 40

x = x

the common factor of all of the terms is 4x.

Next, divide the original equation by 4x.

4x($8x^{3} +28x^{2}+40x$)

$\frac{8x^{2} }{4x}+\frac{28x^2}{4x}+\frac{40x}{4x}$

$4x(2x^2+7x+10)$