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Factor. $\newline$ $2f^2 + 18f + 40$

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Factor quadratics

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Q. Factor.

\newline

2f^2 + 18f + 40

Identify Common Factor: First, look for a common factor in all terms. $\newline$ $2f^2$ , $18f$ , and $40$ can all be divided by $2$ . $\newline$ So, factor out the $2$ . $\newline$ $2(f^2 + 9f + 20)$
Factor Quadratic Inside: Now, factor the quadratic inside the parentheses. $\newline$ We need two numbers that multiply to $20$ and add up to $9$ . $\newline$ Those numbers are $4$ and $5$ . $\newline$ So, $f^2 + 9f + 20$ can be factored as $(f + 4)(f + 5)$ .
Write Fully Factored Form: Finally, write down the fully factored form of the original expression. $\newline$ $2(f^2 + 9f + 20)$ becomes $2(f + 4)(f + 5)$ .

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