Question

Factor completely 10x2 + 2x − 8.

Answer 1

2(6+x)

Explanation:

1. Multiply the numbers

20+2x-8

2. Subtract the numbers

12+2x

3. Factor 2 from the expression

2(6+x)

Answer 2

The answer is 2(5x - 4)(x + 1)

10x² + 2x - 8 = 2*5x² + 2*x - 2*4 =
= 2(5x² + x - 4) =
= 2(5x² + 5x - 4x - 4) =
= 2(5x *x + 5x*1) - (4*x + 4*1) =
= 2(5x(x + 1) - 4(x + 1)) =
= 2(5x - 4)(x + 1)