Question

Factor 2x2 − 10x − 48 completely.

Answer 1

Alright, lets get started.

The given expression is : $2x^{2} -10 x - 48$

Firstly, we could take 2 as common factor out

$2 (x^{2}- 5x - 24)$

-5x could be written as -8x + 3x

$2 (x^{2}- 8x + 3x - 24)$

Now, taking x common factor out in first two terms and 3 common factor in last two terms

$2 (x(x- 8) + 3(x - 8))$

$2 (x-8)(x+3)$

or

$2 (x+3)(x-8)$

Answer is option d.

Hope it will help :)