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Factor.

z^(2)+14 z+13
◻

Factor. $\newline$ $z^{2}+14z+13$ $\newline$ $\square$

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Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

z^{2}+14z+13

\newline

\square

Identify $a$ , $b$ , $c$ : Step $1$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $z^2 + 14z + 13$ . Here, $a = 1$ , $b = 14$ , and $c = 13$ .
Find two numbers: Step $2$ : Find two numbers that multiply to $ac$ ( $1\times13 = 13$ ) and add up to $b$ ( $14$ ). $\newline$ The numbers $1$ and $13$ work since $1\times13 = 13$ and $1+13 = 14$ .
Factorize the expression: Step $3$ : Use the numbers found to factorize the quadratic expression. $\newline$ The expression can be written as z + \(1)(z + $13$ )\.

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