Use synthetic division to divide.
$\left( - x ^ { 3 } + 101 x - 825 \right) \div ( x + 11 )$
A) $- x ^ { 2 } + 11 x - 20 , x \neq - 11$
B) $- x ^ { 2 } + 11 x + 20 , x \neq - 11$
C) $x ^ { 2 } + 11 x + 20 , x \neq - 11$
D) $- x ^ { 2 } - 11 x - 20 , x \neq - 11$
E) $x ^ { 2 } + 11 x - 20 , x \neq - 11$

Question

Use synthetic division to divide. 
 $\left( - x ^ { 3 } + 101 x - 825 \right) \div ( x + 11 )$  
A) $- x ^ { 2 } + 11 x - 20 , x \neq - 11$
B) $- x ^ { 2 } + 11 x + 20 , x \neq - 11$
C) $x ^ { 2 } + 11 x + 20 , x \neq - 11$
D) $- x ^ { 2 } - 11 x - 20 , x \neq - 11$
E) $x ^ { 2 } + 11 x - 20 , x \neq - 11$

Quizplus · Accepted Answer

To use synthetic division to divide $(-x^3 + 101x - 825)$ by $(x + 11)$, we set up the division with -11 (since we're dividing by $x + 11$, we use the opposite sign). The coefficients for $-x^3 + 101x - 825$ are -1, 0 (for $x^2$, since it's missing), 101, and -825. Proceeding with synthetic division:-11 | -1  0  101  -825       |____-11  121 -222         -1 -11  122 -1047The result is $-x^2 + 11x - 20$, with a remainder of -1047, which means the correct division is $-x^2 + 11x - 20$, confirming option A is correct.

Use Synthetic Division to Divide (−x3+101x−825)÷(x+11)\left( - x ^ { 3 } + 101 x - 825 \right) \div ( x + 11 )(−x3+101x−825)÷(x+11)

Use Synthetic Division to Divide $\left( - x ^ { 3 } + 101 x - 825 \right) \div ( x + 11 )$