a. Is $$ (x-2) $$ a factor of $$ f(x)=-2 x^{4}+7 x^{3}-7 x^{2}+2 x-7 $$ ? Answer yes or no: b. Explain your answer using correct terminonology for polynomial division and using complete and gramatically correct sentences.

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Bowen Salinas · Accepted Answer

a. No. b. The Factor Theorem states that $$ (x-c) $$ is a factor of $$ f(x) $$ if $$ f(c) = 0 $$. Evaluating $$ f(2) $$ gives a non-zero result, so $$ (x-2) $$ is not a factor of $$ f(x) $$.

a. Is \( (x-2) \) a factor of \( f(x)=-2 x^{4}+7 x^{3}-7 x^{2}+2 x-7 \) ? Answer yes or no: b. Explain your answer using correct terminonology for polynomial division and using complete and gramatically correct sentences.

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a. Is \( (x-2) \) a factor of \( f(x)=-2 x^{4}+7 x^{3}-7 x^{2}+2 x-7 \) ? Answer yes or no: b. Explain your answer using correct terminonology for polynomial division and using complete and gramatically correct sentences.

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