Factor completely 2x^2 − 2x − 40.

2(x − 5)(x + 4)
(2x − 10)(x + 4)
(x − 5)(2x + 8)
2(x − 4)(x + 5)
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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..