Use synthetic division to perform the division.
-$$\frac { x ^ { 4 } + 81 } { x - 3 }$$
A) $x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27 + \frac { 162 } { x - 3 }$
B) $x ^ { 3 } - 3 x ^ { 2 } + 9 x - 27 + \frac { 162 } { x - 3 }$
C) $x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27 + \frac { 81 } { x - 3 }$
D) $x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27$

Question

Quizplus · Accepted Answer

Synthetic division of $x^4 + 81$ by $x - 3$ yields coefficients 1, 3, 9, 27 for $x^3, x^2, x^1, x^0$ respectively, and a remainder of 162, leading to the quotient $x^3 + 3x^2 + 9x + 27$ with a remainder of $\frac{162}{x-3}$.

Use Synthetic Division to Perform the Division x4+81x−3\frac { x ^ { 4 } + 81 } { x - 3 }x−3x4+81​

Use Synthetic Division to Perform the Division $\frac { x ^ { 4 } + 81 } { x - 3 }$