Consider the polynomial \(-8x^3 - 2x^2 - 12x - 3\). You can group first two terms and second two terms:
\(-8x^3 - 2x^2 - 12x - 3= (-8x^3 - 2x^2 )+(- 12x - 3)\).
Find the common factors in both brackets:
- in brackets \((-8x^3 - 2x^2 )\) the common factor is \(-2x^2\);
- in brackets \((- 12x - 3)\) the common factor is \(-3\).
Then rewrite the polynomial as
\(-8x^3 - 2x^2 - 12x - 3= (-8x^3 - 2x^2 )+(- 12x - 3) =-2x^2(4x+1)-3(4x+1)\).
Here you see that expression 4x+1 is common, then
\(-8x^3 - 2x^2 - 12x - 3=-2x^2(4x+1)-3(4x+1)=(4x+1)(-2x^2-3).\).
Answer: correct choice is D.
