Question

question
factor completely.
$x^3 - x^2 - 11x + 11$

Explanation:

Step1: Group terms

Group the first two terms and the last two terms: $(x^3 - x^2) + (-11x + 11)$

Step2: Factor out GCF from each group

Factor out $x^2$ from the first group and $-11$ from the second group: $x^2(x - 1) - 11(x - 1)$

Step3: Factor out common binomial

Factor out $(x - 1)$: $(x - 1)(x^2 - 11)$

Answer:

$(x - 1)(x^2 - 11)$