In the table below, the written explanation of the steps have been provided, show the mathematical steps for the explanations given.

Here's the completed table for the factorization of $x^2 + x - 12$:

3.2.3 In the table below, the written explanation of the steps have been provided, show the mathematical steps for the explanations given.

Mathematical steps	Explanation
$x^2 + 4x - 3x - 12$	Rewrite the middle term of the trinomial using the values from the chart above.
$(x^2 + 4x) + (-3x - 12)$	Group pairs of terms.
$x(x + 4)$	Factor out the HCF of the first group.
$-3(x + 4)$	Factor out the HCF of the second group.
$(x + 4)(x - 3)$	Factor out HCF of the two terms.
$(x + 4)(x - 3)$	The final factorized answer.