Respuesta :

Answer:

[tex]2(x + 4)(x - 5)[/tex]

Step-by-step explanation:

Given

[tex]2x^2 - 2x - 40[/tex]

Required

Factorize

[tex]2x^2 - 2x - 40[/tex]

Start by expanding the above expression

[tex]2x^2 - 10x + 8x- 40[/tex]

Then, split the expanded expression into two

[tex](2x^2 - 10x) + (8x- 40)[/tex]

Factorize the split expression:

[tex]2x(x - 5) + 8(x- 5)[/tex]

[tex](2x + 8)(x - 5)[/tex]

Expand the expression in the first bracket

[tex](2x + 2*4)(x - 5)[/tex]

Then take out common factor

[tex]2(x + 4)(x - 5)[/tex]

From the list of given options, option A is correct

Answer:

A

Step-by-step explanation:

I took the test.