Question

Factor Completely:

5x2 + 10x - 40

Answer 1

Given.

`5x^2+10x-40`

Factor out the GCF.

`5(x^2+2x-8)`

Use AC method.

`x^2+bx+c`

`x^2+2x-8`

Find product of b (-8) and sum of c (2x).

(-2,4)

When you solve.

`5((x-2)(x+4))`

Answer 2

5(x+4) (x-2)

Explanation:

5x^2 + 10x - 40

Factor out a 5

5(x^2 +2x - 8)

Looking at the inside of the parentheses

What 2 numbers multiply to -8 and add to 2

4 *-2 = -8

4+-2 = 2

5(x+4) (x-2)