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Factor.

q^(2)+13 q+22

Factor. $\newline$ $q^{2}+13 q+22$

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Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

q^{2}+13 q+22

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $q^2 + 13q + 22$ by comparing it to the standard form $ax^2 + bx + c$ . $b = 13$ , $c = 22$
Find factor pairs: Find two numbers that multiply to $22$ $(c)$ and add up to $13$ $(b)$ . $\newline$ Factors of $22$ : $1$ and $22$ , $2$ and $11$ . $\newline$ Sum of $2$ and $11$ is $13$ , which matches $(c)$ $2$ . $\newline$ Correct pair: $2$ , $11$
Write factored form: Write the factored form using the numbers found. $\newline$ Factored form: $(q + 2)(q + 11)$

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