Question

question
factor completely.
$3x^3 - x^2 + 3x - 1$

Explanation:

Step1: Group terms for factoring

Group first two and last two terms:
$(3x^3 - x^2) + (3x - 1)$

Step2: Factor out GCF from groups

Factor $x^2$ from first group, 1 from second:
$x^2(3x - 1) + 1(3x - 1)$

Step3: Factor out common binomial

Factor $(3x - 1)$ from both terms:
$(3x - 1)(x^2 + 1)$

Answer:

$(3x - 1)(x^2 + 1)$