Factor. 14p^3 - 7p^2 - 16p + 8 ______

Identify Common Factors: Look for common factors in each pair of terms. We can factor out 7p^2 from the first two terms, 14p^3 and -7p^2. 14p^3 - 7p^2 = 7p^2(2p - 1)Factor Out Common Factors: Look for common factors in the last two terms. We can factor out -8 from the last two terms, -16p and 8. -16p + 8 = -8(2p - 1)Combine Results: Combine the results from Step 1 and Step 2. We now have: 7p^2(2p - 1) - 8(2p - 1) Notice that (2p - 1) is a common factor.Factor Out Common Factor: Factor out the common factor (2p - 1). Factoring (2p - 1) out of both expressions gives us: (2p - 1)(7p^2 - 8)

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Algebra 1

Factor by grouping

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Q. Factor.

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14p^3 - 7p^2 - 16p + 8

Identify Common Factors: Look for common factors in each pair of terms. $\newline$ We can factor out $7p^2$ from the first two terms, $14p^3$ and $-7p^2$ . $\newline$ $14p^3 - 7p^2 = 7p^2(2p - 1)$
Factor Out Common Factors: Look for common factors in the last two terms. $\newline$ We can factor out $-8$ from the last two terms, $-16p$ and $8$ . $\newline$ $-16p + 8 = -8(2p - 1)$
Combine Results: Combine the results from Step $1$ and Step $2$ . $\newline$ We now have: $\newline$ $7p^2(2p - 1) - 8(2p - 1)$ $\newline$ Notice that $(2p - 1)$ is a common factor.
Factor Out Common Factor: Factor out the common factor $(2p - 1)$ . Factoring $(2p - 1)$ out of both expressions gives us: $(2p - 1)(7p^2 - 8)$