Question

factor the trinomial
$7c^2 - 56c + 84 = (\square) \cdot (\square)$
(write \is prime\ in the first box if the polynomial is prime.)
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Explanation:

Step1: Factor out GCF

The GCF of $7c^2$, $-56c$, $84$ is 7: $7(c^2 - 8c + 12)$

Step2: Factor quadratic trinomial

Find two numbers: product=12, sum=-8 (i.e., -2,-6): $c^2 -8c +12=(c-2)(c-6)$

Step3: Combine factors

$7(c-2)(c-6)$

Answer:

$7(c - 2) \cdot (c - 6)$