Question

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Explanation:

Step1: Recall factoring rules for trinomials

For $x^2+bx+c$, find two numbers $m,n$ where $m+n=b$ and $m \times n=c$.

Step2: Identify target product and sum

We know one factor is $-6$. Let the unknown value be $k$. We need:
$-6 \times k = -12$ and $-6 + k = -4$

Step3: Solve for $k$ using product rule

$k = \frac{-12}{-6} = 2$
Verify with sum: $-6 + 2 = -4$, which matches the linear coefficient.

Answer:

C. 2