Use synthetic division to perform the division.
$\frac { x ^ { 4 } + 625 } { x - 5 }$
A) $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 1250 } { x - 5 }$
B) $x ^ { 3 } - 5 x ^ { 2 } + 25 x - 125 + \frac { 1250 } { x - 5 }$
C) $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125$
D) $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 625 } { x - 5 }$

Question

Quizplus · Accepted Answer

Synthetic division of $x^4 + 625$ by $x - 5$ yields coefficients 1, 5, 25, 125 for $x^3, x^2, x^1, x^0$ respectively, and a remainder of 1250, leading to the quotient $x^3 + 5x^2 + 25x + 125$ plus the remainder term $\frac{1250}{x-5}$.

Use Synthetic Division to Perform the Division x4+625x−5\frac { x ^ { 4 } + 625 } { x - 5 }x−5x4+625​

Use Synthetic Division to Perform the Division $\frac { x ^ { 4 } + 625 } { x - 5 }$