Find the Quotient and Remainder for the Division Problem $\left( 5 x ^ { 3 } + 18 x ^ { 2 } - 3 x - 1 \right) \div \left( x ^ { 2 } + 4 x \right)$

Multiple Choice

Find the quotient and remainder for the division problem. $\left( 5 x ^ { 3 } + 18 x ^ { 2 } - 3 x - 1 \right) \div \left( x ^ { 2 } + 4 x \right)$

A) Q: $5 x - 2$
R: $5 x + 1$
B) Q: $5 x + 2$
R: $5 x - 1$
C) Q: $5 x - 2$
R: 0
D) Q: $5 x - 2$
R: $5 x - 1$
E) Q: $5 x + 2$
R: 0