Question

question
factor completely.
$x^3 + 7x^2 - 25x - 175$

Explanation:

Step1: Group terms for factoring

$(x^3 + 7x^2) + (-25x - 175)$

Step2: Factor out GCF from each group

$x^2(x + 7) - 25(x + 7)$

Step3: Factor out common binomial

$(x + 7)(x^2 - 25)$

Step4: Factor difference of squares

$(x + 7)(x - 5)(x + 5)$

Answer:

$(x + 7)(x - 5)(x + 5)$