Use synthetic division to perform the division.
-$$\frac { x ^ { 3 } - \frac { 5 } { 2 } x ^ { 2 } - 2 x + \frac { 3 } { 2 } } { x - \frac { 1 } { 2 } }$$
A) $x ^ { 2 } + \frac { 13 } { 2 } x + \frac { - 2 } { x + 1 }$
B) $x ^ { 2 } - 2 x - 6$
C) $x ^ { 2 } - 2 x - 3$
D) $x ^ { 2 } + \frac { 13 } { 2 } x + \frac { 7 } { 2 } + 2$

Question

Quizplus · Accepted Answer

Synthetic division with $x - \frac{1}{2}$ as the divisor and $x^3 - \frac{5}{2}x^2 - 2x + \frac{3}{2}$ as the dividend yields a quotient of $x^2 - 2x - 3$.

Use Synthetic Division to Perform the Division x3−52x2−2x+32x−12\frac { x ^ { 3 } - \frac { 5 } { 2 } x ^ { 2 } - 2 x + \frac { 3 } { 2 } } { x - \frac { 1 } { 2 } }x−21​x3−25​x2−2x+23​​

Use Synthetic Division to Perform the Division $\frac { x ^ { 3 } - \frac { 5 } { 2 } x ^ { 2 } - 2 x + \frac { 3 } { 2 } } { x - \frac { 1 } { 2 } }$