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