Step-by-step explanation:
Hey there!
Given;
[tex] = 2 {x}^{2} - 2x - 40[/tex]
Solve it by using mid-term factorization.
[tex] = 2 {x}^{2} - 2x - 40[/tex]
[tex] = 2 {x}^{2} - (10 - 8)x - 40[/tex]
[tex] = 2 {x}^{2} - 10x + 8x - 40[/tex]
Take common and simplify them to get answer.
[tex]2x(x - 5) + 8(x - 5)[/tex]
[tex] = (2x + 8)(x - 5)[/tex]
[tex] = 2(x + 4)(x - 5)[/tex]
Therefore the answer is option D.
Hope it helps..