Factor. 4p^3 + 8p^2 - 7p - 14 ______

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. The first two terms are 4p^3 and 8p^2. We can factor out a 4p^2 from both terms. 4p^3 + 8p^2 = 4p^2(p + 2) The last two terms are -7p and -14. We can factor out a -7 from both terms. -7p - 14 = -7(p + 2)Factor Out Common Factors: Write the expression with the factored groups. Now we have: 4p^2(p + 2) - 7(p + 2) Notice that (p + 2) is a common factor.Write Factored Expression: Factor out the common factor (p + 2). We can now factor (p + 2) out of the expression: (4p^2 - 7)(p + 2) This is the factored form of the polynomial.

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Q. Factor.

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4p^3 + 8p^2 - 7p - 14

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ The first two terms are $4p^3$ and $8p^2$ . We can factor out a $4p^2$ from both terms. $\newline$ $4p^3 + 8p^2 = 4p^2(p + 2)$ $\newline$ The last two terms are $-7p$ and $-14$ . We can factor out a $-7$ from both terms. $\newline$ $-7p - 14 = -7(p + 2)$
Factor Out Common Factors: Write the expression with the factored groups. $\newline$ Now we have: $\newline$ $4p^2(p + 2) - 7(p + 2)$ $\newline$ Notice that $(p + 2)$ is a common factor.
Write Factored Expression: Factor out the common factor $(p + 2)$ . $\newline$ We can now factor $(p + 2)$ out of the expression: $\newline$ $(4p^2 - 7)(p + 2)$ $\newline$ This is the factored form of the polynomial.