Simplify the rational expression. $\frac { 2 x ^ { 4 } + 12 x ^ { 3 } + 10 x ^ { 2 } } { x ^ { 3 } + 1 }$
A) $\frac { 2 x ^ { 4 } + 12 x ^ { 3 } + 10 } { x + 1 }$ (Provided $\left. x \neq - 1 \right)$
B) $2 x ^ { 4 } + 12 + 10 x ^ { 2 } \quad$ (Provided $x \neq - 1$ )
C) $\frac { 2 x ^ { 2 } ( x + 5 ) } { x ^ { 2 } - x + 1 }$
(Provided $x \neq - 1$ )
D) $\frac { 2 x ^ { 4 } + 12 x ^ { 3 } + 10 x ^ { 2 } } { x ^ { 3 } + 1 }$; cannot be simplified

Question

Quizplus · Accepted Answer

The numerator can be factored as $2x^2(x+5)$, and the denominator can be factored as $(x-1)(x^2+x+1)$. The simplified expression is then $\frac{2x^2(x+5)}{(x-1)(x^2+x+1)}$.

Simplify the Rational Expression 2x4+12x3+10x2x3+1\frac { 2 x ^ { 4 } + 12 x ^ { 3 } + 10 x ^ { 2 } } { x ^ { 3 } + 1 }x3+12x4+12x3+10x2​

Simplify the Rational Expression $\frac { 2 x ^ { 4 } + 12 x ^ { 3 } + 10 x ^ { 2 } } { x ^ { 3 } + 1 }$