Question

factor completely.
$4x^3 - x^2 + 36x - 9$

Explanation:

Step1: Group the polynomial

$(4x^3 - x^2) + (36x - 9)$

Step2: Factor out GCF from each group

$x^2(4x - 1) + 9(4x - 1)$

Step3: Factor out common binomial

$(4x-1)(x^2+9)$

Answer:

$(4x-1)(x^2+9)$