Factor. 2p^3 - p^2 - 14p + 7 ______

Grouping for Factoring: Group terms to facilitate factoring by grouping. We can group the terms as follows: (2p^3 - p^2) and (-14p + 7).Factor Common Terms: Factor out the greatest common factor from each group. From the first group (2p^3 - p^2), we can factor out p^2, which gives us p^2(2p - 1). From the second group (-14p + 7), we can factor out -7, which gives us -7(2p - 1).Write Factored Form: Write the factored form of the polynomial. We notice that (2p - 1) is a common factor in both groups, so we can factor it out. The factored form of the polynomial is (2p - 1)(p^2 - 7).

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Factor. $\newline$ $2p^3 - p^2 - 14p + 7$

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Q. Factor.

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2p^3 - p^2 - 14p + 7

Grouping for Factoring: Group terms to facilitate factoring by grouping. We can group the terms as follows: $2p^3 - p^2$ and $-14p + 7$ .
Factor Common Terms: Factor out the greatest common factor from each group. $\newline$ From the first group $2p^3 - p^2$ , we can factor out $p^2$ , which gives us $p^2(2p - 1)$ . $\newline$ From the second group $-14p + 7$ , we can factor out $-7$ , which gives us $-7(2p - 1)$ .
Write Factored Form: Write the factored form of the polynomial. $\newline$ We notice that $(2p - 1)$ is a common factor in both groups, so we can factor it out. $\newline$ The factored form of the polynomial is $(2p - 1)(p^2 - 7)$ .