Question

factor completely. \\( x^3 - 7x^2 + 16x - 112 \\)

Explanation:

Step1: Group terms for factoring

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

Step2: Factor out GCF from each group

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

Step3: Factor out common binomial

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

Answer:

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