Divide using synthetic division, and write a summary statement in fraction form.
-$$\frac { 2 x ^ { 3 } - 3 x ^ { 2 } - 5 x + 4 } { x - 2 }$$
A) $2 x ^ { 2 } + x + 3 + \frac { 10 } { x + 2 }$
B) $2 x ^ { 2 } + 7 x + 9 + \frac { 22 } { x + 2 }$
C) $2 x ^ { 2 } + x - 3 + \frac { - 2 } { x - 2 }$
D) $2 x ^ { 2 } - 7 x + 11 + \frac { 18 } { x + 2 }$

Question

Quizplus · Accepted Answer

The correct division using synthetic division results in $2x^2 + x - 3$ with a remainder of $-2$, which when written as a fraction over the divisor $x - 2$ gives $2x^2 + x - 3 + \frac{-2}{x - 2}$.

Divide Using Synthetic Division, and Write a Summary Statement in Fraction