factor -8x³ - 2x² - 12x - 3 by grouping. what is the resulting expression?\n(2x² - 3)(4x + 1)\n(-2x²…

Explanation:

Step1: Group the terms

Group the polynomial (-8x^{3}-2x^{2}-12x - 3) as ((-8x^{3}-2x^{2})+(-12x - 3)).

Step2: Factor out the greatest - common factor from each group

From (-8x^{3}-2x^{2}), the GCF is (-2x^{2}), so (-8x^{3}-2x^{2}=-2x^{2}(4x + 1)). From (-12x - 3), the GCF is (-3), so (-12x - 3=-3(4x + 1)).

Step3: Factor out the common binomial factor

The expression becomes (-2x^{2}(4x + 1)-3(4x + 1)=(4x + 1)(-2x^{2}-3)=(-2x^{2}-3)(4x + 1)).

Answer:

((-2x^{2}-3)(4x + 1))