Question

factor the following polynomial.
$x^3 + 3x^2 + 8x + 24$

$x^3 + 3x^2 + 8x + 24 = \square$

Explanation:

Step1: Group terms into pairs

$(x^3 + 3x^2) + (8x + 24)$

Step2: Factor out GCF from each group

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

Step3: Factor out common binomial

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

Answer:

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