Question

question
factor completely.
$x^3 + 5x^2 - 9x - 45$

Explanation:

Step1: Group terms for factoring

$(x^3 + 5x^2) + (-9x - 45)$

Step2: Factor out GCF from each group

$x^2(x + 5) - 9(x + 5)$

Step3: Factor out common binomial

$(x + 5)(x^2 - 9)$

Step4: Factor difference of squares

$(x + 5)(x + 3)(x - 3)$

Answer:

$(x + 5)(x + 3)(x - 3)$