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Factor. $\newline$ $3w^2 - 12w - 15$

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Factor quadratics

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Q. Factor.

\newline

3w^2 - 12w - 15

Identify GCF: First, look for a greatest common factor (GCF) that can be factored out from all terms. $\newline$ GCF of $3w^2$ , $-12w$ , and $-15$ is $3$ . $\newline$ Factor out the GCF: $3(w^2 - 4w - 5)$ .
Factor out GCF: Now, factor the quadratic inside the parentheses: $w^2 - 4w - 5$ . We need two numbers that multiply to $-5 \times 1$ (the coefficient of $w^2$ ) and add to $-4$ (the coefficient of $w$ ). The numbers are $-5$ and $+1$ .
Factor Quadratic: Write the factored form using these numbers: $(w - 5)(w + 1)$ .
Write Factored Form: Don't forget to include the GCF we factored out at the beginning. $\newline$ The final factored form is: $3(w - 5)(w + 1)$ .

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