Question

Factor 2x2 − 10x − 48 completely.

a 2(x − 3)(x + 8)
b (2x + 3)(x − 8)
c (2x − 3)(x + 8)
d 2(x + 3)(x − 8)

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 :)