Question

factor completely.
\\( x^3 + 7x^2 + 9x + 63 \\)

Explanation:

Step1: Group terms into pairs

$(x^3 + 7x^2) + (9x + 63)$

Step2: Factor out GCF from each pair

$x^2(x + 7) + 9(x + 7)$

Step3: Factor out common binomial

$(x+7)(x^2+9)$

Answer:

$(x+7)(x^2+9)$