Choose the one alternative that best completes the statement or answers the question.
Divide
-$\left(9 z^{4}-7 z^{3}+15 z^{2}+4 z+3\right) \div\left(z^{2}-z+2\right)$

A) $9 z^{2}+2 z-1+\frac{z-5}{z^{2}-z+2}$

B) $9 z^{2}+2 z-1+\frac{-z+5}{z^{2}-z+2}$

C) $9 z^{2}+2 z-1$

D) $9 z^{2}-2 z+1+\frac{z-5}{z^{2}-z+2}$

Question

Choose the one alternative that best completes the statement or answers the question.
Divide
-$\left(9 z^{4}-7 z^{3}+15 z^{2}+4 z+3\right) \div\left(z^{2}-z+2\right)$

A) $9 z^{2}+2 z-1+\frac{z-5}{z^{2}-z+2}$

B) $9 z^{2}+2 z-1+\frac{-z+5}{z^{2}-z+2}$

C) $9 z^{2}+2 z-1$

D) $9 z^{2}-2 z+1+\frac{z-5}{z^{2}-z+2}$

Quizplus · Accepted Answer

To divide $\left(9 z^{4}-7 z^{3}+15 z^{2}+4 z+3\right)$ by $\left(z^{2}-z+2\right)$, polynomial long division or synthetic division can be used. The quotient is $9 z^{2}+2 z-1$ with a remainder of $(-z+5)$. Therefore, the complete expression is $9 z^{2}+2 z-1+\frac{-z+5}{z^{2}-z+2}$.

Choose the One Alternative That Best Completes the Statement or Answers