Factor. 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. GCF of 4z^2, -40z, and 84 is 4. Factor out the GCF: 4(z^2 - 10z + 21).Factor Quadratic Expression: Now, factor the quadratic expression inside the parentheses. We need two numbers that multiply to 4 * 21 (since we factored out 4) and add up to -10. The numbers are -4 and -7 because -4 * -7 = 28 and -4 + -7 = -11. Oops, the sum should be -10, not -11. Let's correct that. The correct numbers are -6 and -7 because -6 * -7 = 42 and -6 + -7 = -13.

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

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Q. Factor.

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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 $4$ $2$ .