Use synthetic division to find the quotient and remainder.
-$$\left( x ^ { 3 } - 5 \right) \div ( x - 1 )$$
A) $x ^ { 2 } + x + 1 + \frac { 5 } { x - 1 }$
B) $x ^ { 2 } - x - 1$
C) $x ^ { 3 } - x ^ { 2 } - x - 1$
D) $x ^ { 2 } + x + 1 + \frac { - 4 } { x - 1 }$

Question

Quizplus · Accepted Answer

Using synthetic division with divisor $x - 1$, the coefficients of $x^3 - 5$ become $1, 0, 0, -5$. The synthetic division process yields a quotient of $x^2 + x + 1$ and a remainder of $-4$, making the correct answer $x^2 + x + 1 + \frac{-4}{x-1}$.

Use Synthetic Division to Find the Quotient and Remainder (x3−5)÷(x−1)\left( x ^ { 3 } - 5 \right) \div ( x - 1 )(x3−5)÷(x−1)

Use Synthetic Division to Find the Quotient and Remainder $\left( x ^ { 3 } - 5 \right) \div ( x - 1 )$