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factor the following trinomial. $h^2 + 6h - 55$ $(h - ?)(h + \\square)$

Question

factor the following trinomial.
$h^2 + 6h - 55$
$(h - ?)(h + \square)$

Explanation:

Step1: Find pair of factors of -55

We need two numbers that multiply to $-55$ and add to $6$. The pair is $-5$ and $11$, since $(-5) \times 11 = -55$ and $-5 + 11 = 6$.

Step2: Fill factors into the binomials

Substitute the numbers into the given form $(h - [?])(h + [])$.

Answer:

$(h - 5)(h + 11)$