Divide using synthetic division.
-$$\frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } + 5 x - 8 } { x - 1 }$$
A) $x ^ { 3 } - 2 x ^ { 2 } - x + 4 - \frac { 4 } { x - 1 }$
B) $x ^ { 3 } - 2 x ^ { 2 } + x + 6 + \frac { 8 } { x - 1 }$
C) $x ^ { 3 } + 2 x ^ { 2 } - x + 6 - \frac { 4 } { x - 1 }$
D) $x ^ { 3 } - 2 x ^ { 2 } + x + 4 + \frac { 8 } { x - 1 }$

Question

Quizplus · Accepted Answer

To perform synthetic division with $x - 1$, we use $1$ as the divisor. The coefficients of the polynomial are $1, -3, 1, 5, -8$. The synthetic division process yields a quotient of $x^3 - 2x^2 - x + 4$ and a remainder of $-4$, making the correct answer $x^3 - 2x^2 - x + 4 - \frac{4}{x - 1}$.

Divide Using Synthetic Division x4−3x3+x2+5x−8x−1\frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } + 5 x - 8 } { x - 1 }x−1x4−3x3+x2+5x−8​

Divide Using Synthetic Division $\frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } + 5 x - 8 } { x - 1 }$