Use synthetic division to divide the polynomials.
-$$\frac { 6 x ^ { 5 } + 16 x ^ { 4 } + 13 x ^ { 3 } + 23 x ^ { 2 } + 24 x - 4 } { x + 2 }$$
A) $6 x ^ { 4 } + 4 x ^ { 3 } + 5 x ^ { 2 } + 13 x - 2$
B) $6 x ^ { 4 } + 28 x ^ { 3 } + 69 x ^ { 2 } + 161 x + \frac { 688 } { x + 2 }$
C) $6 x ^ { 3 } + 4 x ^ { 2 } + 5 x + 13 - \frac { 2 } { x + 2 }$
D) $6 x ^ { 3 } + 28 x ^ { 2 } + 69 x + 161 + \frac { 346 x + 688 } { x + 2 }$

Question

Quizplus · Accepted Answer

Synthetic division of $6x^5 + 16x^4 + 13x^3 + 23x^2 + 24x - 4$ by $x + 2$ (equivalent to $x = -2$) results in $6x^4 + 4x^3 + 5x^2 + 13x - 2$, confirming choice A as correct.

Use Synthetic Division to Divide the Polynomials 6x5+16x4+13x3+23x2+24x−4x+2\frac { 6 x ^ { 5 } + 16 x ^ { 4 } + 13 x ^ { 3 } + 23 x ^ { 2 } + 24 x - 4 } { x + 2 }x+26x5+16x4+13x3+23x2+24x−4​

Use Synthetic Division to Divide the Polynomials $\frac { 6 x ^ { 5 } + 16 x ^ { 4 } + 13 x ^ { 3 } + 23 x ^ { 2 } + 24 x - 4 } { x + 2 }$