Question

factor completely.
$x^3 + 7x^2 + 16x + 112$

Explanation:

Step1: Group terms into pairs

$(x^3 + 7x^2) + (16x + 112)$

Step2: Factor out GCF from each pair

$x^2(x + 7) + 16(x + 7)$

Step3: Factor out common binomial

$(x^2 + 16)(x + 7)$

Answer:

$(x^2 + 16)(x + 7)$