Perform the division. $\frac { 2 x ^ { 3 } - 3 x ^ { 2 } + x - 13 } { x - 2 }$
A) $2 x ^ { 2 } + x + 4 - \frac { 10 } { x - 2 }$
B) $2 x ^ { 2 } + x + 3 - \frac { 7 } { x - 2 }$
C) $2 x ^ { 2 } + x + 3$
D) $2 x ^ { 2 } + x + 3 - \frac { 9 } { x - 2 }$
E) $2 x ^ { 2 } + x + 4 - \frac { 8 } { x - 2 }$

Question

Quizplus · Accepted Answer

Using polynomial long division, dividing $2x^3 - 3x^2 + x - 13$ by $x - 2$ results in a quotient of $2x^2 + x + 3$ with a remainder of $-7$, which gives the expression $2x^2 + x + 3 - \frac{7}{x-2}$.

Perform the Division 2x3−3x2+x−13x−2\frac { 2 x ^ { 3 } - 3 x ^ { 2 } + x - 13 } { x - 2 }x−22x3−3x2+x−13​

Perform the Division $\frac { 2 x ^ { 3 } - 3 x ^ { 2 } + x - 13 } { x - 2 }$