Question

Factor completely

Answer 1

Answer:

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

Step-by-step explanation:

10x^2+2x-8

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

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

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

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

Answer 2

Answer:

B.)  2(5x - 4)(x + 1).

Step-by-step explanation:

10x^2+2x-8

First divide by  the common factor 2:

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

Now  we factor the expression in the parentheses using the 'ac' method.

5 * -4 = -20   so to get the  + x in the middle  we need 5x - 4x:

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

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

= 2(5x - 4)(x + 1)  (answer).