Use synthetic division to perform the division. $\left( 4 x ^ { 3 } - 11 + 2 x ^ { 2 } \right) \div ( x + 1 )$
A) $4 x ^ { 2 } - 2 x + 2 + \frac { 13 } { x + 1 }$
B) $4 x ^ { 2 } + 2 x - 2 + \frac { 13 } { x + 1 }$
C) $4 x ^ { 2 } - 2 x + 2 - \frac { 13 } { x + 2 }$
D) $4 x ^ { 2 } - 2 x + 2 - \frac { 13 } { x - 1 }$
E) $4 x ^ { 2 } - 2 x + 2 - \frac { 13 } { x + 1 }$

Question

Quizplus · Accepted Answer

To perform synthetic division of $4x^3 - 11 + 2x^2$ by $x + 1$, we first correct the polynomial order: $4x^3 + 2x^2 + 0x - 11$. Using -1 (the root of $x + 1 = 0$) for synthetic division, we get coefficients for $4x^2 - 2x + 2$ and a remainder of -13, leading to $4x^2 - 2x + 2 - \frac{13}{x + 1}$.

Use Synthetic Division to Perform the Division (4x3−11+2x2)÷(x+1)\left( 4 x ^ { 3 } - 11 + 2 x ^ { 2 } \right) \div ( x + 1 )(4x3−11+2x2)÷(x+1)

Use Synthetic Division to Perform the Division $\left( 4 x ^ { 3 } - 11 + 2 x ^ { 2 } \right) \div ( x + 1 )$