Question

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

A. (2x2 – 3)(4x + 1)
b. (–2x2 – 3)(–4x + 1)
c. (2x2 – 3)(–4x + 1)
d. (–2x2 – 3)(4x + 1)

Answer 1

[-8^3 - 2x^2] - [12x-3] (this is how you group to factor)-2x^2[4x+1] - 3[4x+1] (Now factor)
(-2x^2-3)(4x+1)

So the answer is D

Answer 2

d.
`(-2x^2-3)(4x+1)`.

Explanation:

We have been given an expression
`-8x^3-2x^2-12x-3`. We are asked to factor our given expression.

First of all, we will make to groups of our given expression as:

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

Now, we will factor out Greatest Common Factor from each group.

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

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

Therefore, the factored form of our given expression is
`(-2x^2-3)(4x+1)` and option 'd' is the correct choice.