Factor. 3w^2 - 12w - 15 ____

Identify GCF: First, look for a greatest common factor (GCF) that can be factored out from all terms. GCF of 3w^2, -12w, and -15 is 3. 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 * 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. The final factored form is: 3(w - 5)(w + 1).

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

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Q. Factor.

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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: $3(w - 5)(w + 1)$ .