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Factor. $\newline$ $9t^3 - 18t^2 + 2t - 4$

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Factor by grouping

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Q. Factor.

\newline

9t^3 - 18t^2 + 2t - 4

Factorize cubic polynomial: Write the factored form of $9t^3 - 18t^2$ . $\newline$ Factor out $9t^2$ from $9t^3$ and $18t^2$ . $\newline$ $9t^3 - 18t^2 = 9t^2(t - 2)$
Factorize linear polynomial: Write the factored form of $2t - 4$ . Factor out $2$ from $2t$ and $4$ . $2t - 4 = 2(t - 2)$
Combine factorized polynomials: We found: $\newline$ $9t^3 - 18t^2 = 9t^2(t - 2)$ $\newline$ $2t - 4 = 2(t - 2)$ $\newline$ Write the factored form of $9t^3 - 18t^2 + 2t - 4$ . $\newline$ Factor out $(t - 2)$ from $9t^2(t - 2)$ and $2(t - 2)$ . $\newline$ So, the factored form of $9t^3 - 18t^2 + 2t - 4$ is $(9t^2 + 2)(t - 2)$ .

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