Question

HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2

(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)

Answer 1

2(5x - 4)(x + 1)

Explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x )(x )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

Answer 2

`\large \boxed{2(5x-4)(x+1)}`

Explanation:

`10x^2 + 2x - 8`

Rewrite 2x as 10x - 8x.

`10x^2 + 10x-8x - 8`

Factor out the two groups.

`10x(x+1)-8(x+1)`

Take x+1 as a common factor.

`(10x-8)(x+1)`

Factor 10x - 8.

`2(5x-4)(x+1)`