Question

1. use factor by grouping to complete the factored form of $x^{3}+3x^{2}-4x-12$.

Explanation:

Step1: Group terms into pairs

$(x^3 + 3x^2) + (-4x - 12)$

Step2: Factor out GCF from each pair

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

Step3: Factor out common binomial

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

Step4: Factor difference of squares

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

Answer:

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