Factor. f^3 + 2f^2 + 6f + 12 ______

Factor out f^2: Write the factored form of f^3 + 2f^2. Factor out f^2 from f^3 and 2f^2. f^3 + 2f^2 = f^2(f + 2)Factor out 6: Write the factored form of 6f + 12. Factor out 6 from 6f and 12. 6f + 12 = 6(f + 2)Factor out (f + 2): We found: f^3 + 2f^2 = f^2(f + 2) 6f + 12 = 6(f + 2) Write the factored form of f^3 + 2f^2 + 6f + 12. Factor out (f + 2) in f^2(f + 2) + 6(f + 2). Factored form: (f^2 + 6)(f + 2)

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Factor. $\newline$ $f^3 + 2f^2 + 6f + 12$

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Q. Factor.

\newline

f^3 + 2f^2 + 6f + 12

Factor out $f^2$ : Write the factored form of $f^3 + 2f^2$ . $\newline$ Factor out $f^2$ from $f^3$ and $2f^2$ . $\newline$ $f^3 + 2f^2 = f^2(f + 2)$
Factor out $6$ : Write the factored form of $6f + 12$ . $\newline$ Factor out $6$ from $6f$ and $12$ . $\newline$ $6f + 12 = 6(f + 2)$
Factor out $(f + 2)$ : We found: $\newline$ $f^3 + 2f^2 = f^2(f + 2)$ $\newline$ $6f + 12 = 6(f + 2)$ $\newline$ Write the factored form of $f^3 + 2f^2 + 6f + 12$ . $\newline$ Factor out $(f + 2)$ in $f^2(f + 2) + 6(f + 2)$ . $\newline$ Factored form: $(f^2 + 6)(f + 2)$