Find the Quotient and Remainder for the Division Problem $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 5 y - 2 \right) \div \left( y ^ { 2 } - y \right)$

Find the quotient and remainder for the division problem. $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 5 y - 2 \right) \div \left( y ^ { 2 } - y \right)$

A) $Q : 2 y - 1$
$$\mathrm { R } : - 3 y - 1$$
B) Q: $2 y - 1$
R: 0
C) $Q : - 6 y - 2$
$\mathrm { R } : 2 y - 1$
D) $\begin{array} { l } \mathrm { Q } : 2 y - 1 \\\mathrm { R } : - 6 y - 2\end{array}$
E) $Q : - 6 y - 2$
R: 0

Correct Answer:

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