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Factor. $\newline$ $4z^2 - 40z + 84$

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Factor quadratics

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Q. Factor.

\newline

4z^2 - 40z + 84

Find GCF and Factor Out: First, look for a greatest common factor (GCF) that can be factored out from all the terms. $\newline$ GCF of $4z^2$ , $-40z$ , and $84$ is $4$ . $\newline$ Factor out the GCF: $4(z^2 - 10z + 21)$ .
Factor Quadratic Expression: Now, factor the quadratic expression inside the parentheses. $\newline$ We need two numbers that multiply to $4 \times 21$ (since we factored out $4$ ) and add up to $-10$ . $\newline$ The numbers are $-4$ and $-7$ because $-4 \times -7 = 28$ and $-4 + -7 = -11$ . $\newline$ Oops, the sum should be $-10$ , not $-11$ . Let's correct that. $\newline$ The correct numbers are $-6$ and $-7$ because $4$ $1$ and $4$ $2$ .

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