Question

what is $12x^3 - 9x^2 - 4x + 3$ in factored form? $(\underline{quadquad}x^2 - \underline{quadquad})(\underline{quadquad}x - \underline{quadquad})$

Explanation:

Step1: Group terms for factoring

Group first two and last two terms:
$(12x^3 - 9x^2) + (-4x + 3)$

Step2: Factor out GCF from groups

Factor $3x^2$ from first group, $-1$ from second:
$3x^2(4x - 3) - 1(4x - 3)$

Step3: Factor out common binomial

Factor $(4x - 3)$ from both terms:
$(3x^2 - 1)(4x - 3)$

Answer:

$(3x^2 - 1)(4x - 3)$
Blanks filled: 3, 1, 4, 3