Use synthetic division to divide.
$$\left( x ^ { 3 } - 75 x + 250 \right) \div ( x - 5 )$$
A) $x ^ { 2 } + 5 x - 50$
B) $x ^ { 2 } - 5 x - 75$
C) $x ^ { 2 } + 10 x + 25$
D) $x ^ { 2 } + 15 x + 50$
E) $x ^ { 2 } + 25 x - 10$

Question

Quizplus · Accepted Answer

Synthetic division of $x^3 - 75x + 250$ by $x - 5$ gives coefficients 1, 0, -75 for $x^2$, $x$, and constant term respectively, with a remainder of 0. Adding 5 times each quotient to the next term results in $x^2 + 5x - 50$.

Use Synthetic Division to Divide (x3−75x+250)÷(x−5)\left( x ^ { 3 } - 75 x + 250 \right) \div ( x - 5 )(x3−75x+250)÷(x−5)

Use Synthetic Division to Divide $\left( x ^ { 3 } - 75 x + 250 \right) \div ( x - 5 )$