Question

factor completely
18x² + 3x - 3
select the correct choice below and, if necessary, fill in any answer box within your choice.
a. 18x² + 3x - 3 =

b. 18x² + 3x - 3 is prime.

Explanation:

Step1: Factor out GCF

Factor out 3 from all terms:
$18x^2 + 3x - 3 = 3(6x^2 + x - 1)$

Step2: Factor quadratic trinomial

Split middle term of $6x^2 + x - 1$:
$6x^2 + 3x - 2x - 1 = 3x(2x + 1) -1(2x + 1) = (3x - 1)(2x + 1)$

Step3: Combine all factors

Substitute back the factored quadratic:
$3(3x - 1)(2x + 1)$

Answer:

A. $18x^2 + 3x - 3=3(3x-1)(2x+1)$