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Factor. $\newline$ $f^2 - 9f + 20$

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Factor quadratics

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Q. Factor.

\newline

f^2 - 9f + 20

Identify Form: Identify the form of the quadratic trinomial, which is $f^2 - 9f + 20$ .
Find Numbers: Look for two numbers that multiply to $20$ (the constant term) and add up to $-9$ (the coefficient of the linear term).
Determine Numbers: The numbers are $-4$ and $-5$ because $-4 \times -5 = 20$ and $-4 + -5 = -9$ .
Write Factored Form: Write the factored form using the numbers found: $(f - 4)(f - 5)$ .
Check Factored Form: Check the factored form by expanding: f - \(4)(f - $5$ ) = f^ $2$ - $5$ f - $4$ f + $20$ = f^ $2$ - $9$ f + $20$ \

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