Question

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

Answer 1

Factoring by grouping is splitting middle terms into two appropriate terms.
let us see the resulting expression below as we factor the expression -8x3-2x2-12x-3.

-8x3-2x2-12x-3
= 2x^2 ( -4x-1) 3 (-4x-1)
=(2x^2+3) (-4x-1)

the resulting expression after factoring -8x3-2x2-12x-3 by grouping is:
(2x^2+3) (-4x-1)

The method factoring by grouping is widely used by college professors, teachers, students and even textbook authors.

Answer 2

Answer:

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

Step-by-step explanation:

The given expression is $-8x^3-2x^2-12x-3$

First of all we make groups

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

Take GCF from each group

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

Now, we can factored out the common term

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

Hence, the resulting expression is

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