Question

Factor completely 2x^2 − 2x − 40.

Answer 1

Step-by-step explanation:

Hey there!

Given;

$= 2 {x}^{2} - 2x - 40$

Solve it by using mid-term factorization.

$= 2 {x}^{2} - 2x - 40$

$= 2 {x}^{2} - (10 - 8)x - 40$

$= 2 {x}^{2} - 10x + 8x - 40$

Take common and simplify them to get answer.

$2x(x - 5) + 8(x - 5)$

$= (2x + 8)(x - 5)$

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

Therefore the answer is option D.

Hope it helps..