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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)

Respuesta :

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. [tex](-2x^2-3)(4x+1)[/tex].

Step-by-step explanation:

We have been given an expression [tex]-8x^3-2x^2-12x-3[/tex]. We are asked to factor our given expression.

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

[tex](-8x^3-2x^2)+(-12x-3)[/tex]

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

[tex]-2x^2(4x+1)-3(4x+1)[/tex]

[tex](-2x^2-3)(4x+1)[/tex]

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

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