Question

multiple choice 1 point factor by grouping: 3x³ + 12x + 2x + 8 options: (3x + 2)(x + 4) (3x - 2)(x + 4) (3x + 4)(x - 2) (x + 2)(3x + 4)

Explanation:

Step1: Group the polynomial terms

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

Step2: Factor out GCF from each group

$3x(x + 4) + 2(x + 4)$

Step3: Factor out common binomial

$(x + 4)(3x + 2)$

Answer:

$(x + 2)(3x + 4)$ → Corrected to match factored form: $(3x + 2)(x + 4)$ (matches the first option re-ordered)
A. $(3x + 2)(x + 4)$