Question

Factor completely 2x2 − 2x − 40. 2(x − 5)(x + 4) (2x − 10)(x + 4) (x − 5)(2x + 8) 2(x − 4)(x + 5)

Answer 1

A

Explanation:

I took the test.

Answer 2

`2(x + 4)(x - 5)`

Explanation:

Given

`2x^2 - 2x - 40`

Required

Factorize

`2x^2 - 2x - 40`

Start by expanding the above expression

`2x^2 - 10x + 8x- 40`

Then, split the expanded expression into two

`(2x^2 - 10x) + (8x- 40)`

Factorize the split expression:

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

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

Expand the expression in the first bracket

`(2x + 2*4)(x - 5)`

Then take out common factor

`2(x + 4)(x - 5)`

From the list of given options, option A is correct