Divide using synthetic division, and write a summary statement in fraction form.
-$\frac { 2 x ^ { 5 } - x ^ { 4 } + 3 x ^ { 2 } - x + 5 } { x - 1 }$
A)
$2 x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + 4 x + 3 + \frac { 8 } { x - 1 }$
B)$$2 x ^ { 4 } + x ^ { 3 } - x ^ { 2 } + 2 x + 1 + \frac { 6 } { x - 1 }$$
C)
$2 x ^ { 4 } - 3 x ^ { 3 } - x + \frac { 6 } { x - 1 }$
D)
$2 x ^ { 4 } + x ^ { 3 } + 4 x ^ { 2 } + 3 x + \frac { 8 } { x - 1 }$

Question

Quizplus · Accepted Answer

Using synthetic division with $x - 1$, the quotient is $2x^4 + x^3 + x^2 + 4x + 3$ and the remainder is 8, leading to the fraction form $\frac{8}{x - 1}$.

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