Question

Factor –8x3 – 2x2 – 12x – 3 by grouping. What is the resulting expression?

(2x2 – 3)(4x + 1)
(–2x2 – 3)(–4x + 1)
(2x2 – 3)(–4x + 1)
(–2x2 – 3)(4x + 1)

Answer 1

-2x^2(4x+1)-3(4x+1)
(-2x^2-3)(4x+1)

so option 4

Answer 2

Solution:

The simplified expression by grouping is given by

$(-2x^2-3)(4x +1 )$

D is the correct option.

Explanation:

We have been given the expression

$-8x^3 -2x^2 -12x - 3$

Group the term, we get

$(-8x^3 -2x^2 )+(-12x - 3)$

Take the greatest common factor (GCF) from each group

$-2x^2(4x +1 )-3(4x+1)$

Now, factor out the common factor (4x+1 ), we get

$(-2x^2-3)(4x +1 )$

Therefore, the simplified expression by grouping is given by

$(-2x^2-3)(4x +1 )$

D is the correct option.