Daisy1270434
Answered

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)

Verified Answer :

ponyluvver1007

[-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:

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

Step-by-step 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.

Related Questions