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Factor. $\newline$ $5x^3 + 10x^2 - 8x - 16$

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Factor by grouping

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Q. Factor.

\newline

5x^3 + 10x^2 - 8x - 16

Factorize $5x^3 + 10x^2$ : Write the factored form of $5x^3 + 10x^2$ . $\newline$ Factor out $5x^2$ from $5x^3$ and $10x^2$ . $\newline$ $5x^3 + 10x^2 = 5x^2(x + 2)$
Factorize $-8x - 16$ : Write the factored form of $-8x - 16$ . $\newline$ Factor out $-8$ from $-8x$ and $-16$ . $\newline$ $-8x - 16 = -8(x + 2)$
Factorize $5x^3 + 10x^2 - 8x - 16$ : We found: $\newline$ $5x^3 + 10x^2 = 5x^2(x + 2)$ $\newline$ $-8x - 16 = -8(x + 2)$ $\newline$ Write the factored form of $5x^3 + 10x^2 - 8x - 16$ . $\newline$ Factor out $(x + 2)$ from $5x^2(x + 2)$ and $-8(x + 2)$ . $\newline$ So, the factored form of $5x^3 + 10x^2 - 8x - 16$ is: $(5x^2 - 8)(x + 2)$

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