if one factor of \$x^2 + 2x - 24\$ is \$(x+6)\$, what is the other …

QUESTION IMAGE

$if one factor of \$x^2 + 2x - 24\$ is \$(x+6)\$, what is the other …$

Question

if one factor of \$x^2 + 2x - 24\$ is \$(x+6)\$, what is the other factor?

\$(x+8)\$
\$(x-8)\$
\$(x+4)\$
\$(x-4)\$

Explanation:

Response

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Set up the factoring equation

\[
x^2 + 2x - 24 = (x + 6)(x + a)
\]

Solve for the unknown constant

\[

\begin{aligned} 6 \cdot a &= -24 \\ a &= -4 \end{aligned}

\]

Write the other factor

\[
(x - 4)
\]
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Answer: