Simplify the rational expression, $\frac { x ^ { 4 } + 3 x ^ { 3 } - 25 x ^ { 2 } - 39 x + 180 } { x ^ { 2 } - 6 x + 9 }$ ,by using long division or synthetic division.
A) $x ^ { 2 } + 9 x + 20$
B) $x ^ { 2 } + x + 25$
C) $- x ^ { 2 } + 8 x + 25$
D) $$x ^ { 2 } + x - 12$$
E) $- x ^ { 2 } - x + 20$

Question

Quizplus · Accepted Answer

The numerator can be divided by the denominator using long division or synthetic division, resulting in $x ^ { 2 } + 9 x + 20$.

Simplify the Rational Expression x4+3x3−25x2−39x+180x2−6x+9\frac { x ^ { 4 } + 3 x ^ { 3 } - 25 x ^ { 2 } - 39 x + 180 } { x ^ { 2 } - 6 x + 9 }x2−6x+9x4+3x3−25x2−39x+180​

Simplify the Rational Expression $\frac { x ^ { 4 } + 3 x ^ { 3 } - 25 x ^ { 2 } - 39 x + 180 } { x ^ { 2 } - 6 x + 9 }$