Divide.
-$$\left( 2 x ^ { 5 } - x ^ { 3 } - 4 x ^ { 2 } - 12 x + 12 \right) \div \left( x ^ { 2 } - 3 \right)$$
A) $2 x ^ { 3 } + 5 x - 4 + \frac { 3 x + 24 } { x ^ { 2 } - 3 }$
B) $2 x ^ { 3 } + 5 x + 4 + \frac { 3 x } { x ^ { 2 } - 3 }$
C) $2 x ^ { 3 } + 5 x - 4 + \frac { 3 x } { x ^ { 2 } - 3 }$
D) $2 x ^ { 3 } + 5 x - 4 - \frac { 3 x } { x ^ { 2 } - 3 }$

Question

Quizplus · Accepted Answer

The polynomial division of $2 x ^ { 5 } - x ^ { 3 } - 4 x ^ { 2 } - 12 x + 12$ by $x ^ { 2 } - 3$ results in a quotient of $2 x ^ { 3 } + 5 x - 4$ and a remainder of $3x$, which is expressed as $\frac { 3 x } { x ^ { 2 } - 3 }$.

Divide - (2x5−x3−4x2−12x+12)÷(x2−3)\left( 2 x ^ { 5 } - x ^ { 3 } - 4 x ^ { 2 } - 12 x + 12 \right) \div \left( x ^ { 2 } - 3 \right)(2x5−x3−4x2−12x+12)÷(x2−3)

Divide
- $\left( 2 x ^ { 5 } - x ^ { 3 } - 4 x ^ { 2 } - 12 x + 12 \right) \div \left( x ^ { 2 } - 3 \right)$