Question

question
factor completely.
$x^3 + 7x^2 + 9x + 63$

Explanation:

Step1: Group terms into pairs

Group first two and last two terms:
$(x^3 + 7x^2) + (9x + 63)$

Step2: Factor out GCF from each group

Factor $x^2$ from first group, 9 from second:
$x^2(x + 7) + 9(x + 7)$

Step3: Factor out common binomial

Factor $(x + 7)$ from both terms:
$(x + 7)(x^2 + 9)$

Answer:

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