Instructions: Select the correct answer.
Rewrite the expression $\frac{x^{3}+10 x^{2}+13 x+39}{x^{2}+2 x+1}$ in the form $q(x)+\frac{r(x)}{b(x)}$.

$
\begin{aligned}
& (x+8)+\frac{-4 x+31}{x^{2}+2 x+1} \
& (-4 x+31)+\frac{x+8}{x^{2}+2 x+1} \
& (x+8)+\frac{-4 x+31}{x^{3}+10 x^{2}+13 x+39} \
& (-4 x+31)+\frac{x+8}{x^{3}+10 x^{2}+13 x+39}
\end{aligned}
$

Question

Instructions: Select the correct answer.
Rewrite the expression $\frac{x^{3}+10 x^{2}+13 x+39}{x^{2}+2 x+1}$ in the form $q(x)+\frac{r(x)}{b(x)}$.

$
\begin{aligned}
& (x+8)+\frac{-4 x+31}{x^{2}+2 x+1} \
& (-4 x+31)+\frac{x+8}{x^{2}+2 x+1} \
& (x+8)+\frac{-4 x+31}{x^{3}+10 x^{2}+13 x+39} \
& (-4 x+31)+\frac{x+8}{x^{3}+10 x^{2}+13 x+39}
\end{aligned}
$

StudyXY · Accepted Answer

I'll solve this step by step using polynomial long division. : Set up polynomial long division : Perform polynomial long division : Continue division : Interpret the result : Verify the form $q(x)+\frac{r(x)}{b(x)}$ This matches option (A) in the original problem.

Q
QuestionAnatomy and Physiology

Answer

Full Solution Locked

Step 1
I'll solve this step by step using polynomial long division.

Step 2
: Set up polynomial long division

Final Answer

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