Simplify the rational expression, $\frac { x ^ { 4 } - 5 x ^ { 3 } - 6 x ^ { 2 } + 32 x + 32 } { x ^ { 2 } - 8 x + 16 }$ , by using long division or synthetic division.
A) $x ^ { 2 } + 3 x + 2$
B) $- x ^ { 2 } - x + 2$
C) $x ^ { 2 } + x + 4$
D) $- x ^ { 2 } + 2 x + 4$
E) $x ^ { 2 } - 3 x - 4$

Question

Quizplus · Accepted Answer

The numerator can be divided by the denominator using long division or synthetic division, resulting in $x^2 + 3x + 2$.

Simplify the Rational Expression x4−5x3−6x2+32x+32x2−8x+16\frac { x ^ { 4 } - 5 x ^ { 3 } - 6 x ^ { 2 } + 32 x + 32 } { x ^ { 2 } - 8 x + 16 }x2−8x+16x4−5x3−6x2+32x+32​

Simplify the Rational Expression $\frac { x ^ { 4 } - 5 x ^ { 3 } - 6 x ^ { 2 } + 32 x + 32 } { x ^ { 2 } - 8 x + 16 }$