Question

factor: $3x^3 - 12x^2 + 8x - 32$

Explanation:

Step1: Group terms into pairs

Group the first two and last two terms:
$(3x^3 - 12x^2) + (8x - 32)$

Step2: Factor out GCF from each pair

Factor $3x^2$ from first group, 8 from second:
$3x^2(x - 4) + 8(x - 4)$

Step3: Factor out common binomial

Factor out $(x - 4)$ from both terms:
$(x - 4)(3x^2 + 8)$

Answer:

$(x - 4)(3x^2 + 8)$