Factor. 6f^3 - 9f^2 - 10f + 15 ______

Group Terms for Factoring: Group the terms into two pairs to prepare for factoring by grouping. Group the first two terms and the last two terms separately. 6f^3 - 9f^2 and -10f + 15Factor Out Common Factors: Factor out the greatest common factor from each group. From 6f^3 - 9f^2, factor out 3f^2. From -10f + 15, factor out -5. So we have: 3f^2(2f - 3) - 5(2f - 3)Factor Out Common Factor: Notice that both groups contain the common factor (2f - 3). Factor out the common factor (2f - 3). (2f - 3)(3f^2 - 5)

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Factor. $\newline$ $6f^3 - 9f^2 - 10f + 15$

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Q. Factor.

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6f^3 - 9f^2 - 10f + 15

Group Terms for Factoring: Group the terms into two pairs to prepare for factoring by grouping. Group the first two terms and the last two terms separately. $6f^3 - 9f^2$ and $-10f + 15$
Factor Out Common Factors: Factor out the greatest common factor from each group. $\newline$ From $6f^3 - 9f^2$ , factor out $3f^2$ . $\newline$ From $-10f + 15$ , factor out $-5$ . $\newline$ So we have: $\newline$ $3f^2(2f - 3) - 5(2f - 3)$
Factor Out Common Factor: Notice that both groups contain the common factor $(2f - 3)$ . $\newline$ Factor out the common factor $(2f - 3)$ . $\newline$ $(2f - 3)(3f^2 - 5)$