Use synthetic division to perform the division.
$\frac { 3 x ^ { 3 } - 6 x ^ { 2 } - 23 x + 8 } { x + 2 }$
A) $3 x ^ { 2 } - 12 x + 1 + \frac { 6 } { x + 2 }$
B) $3 x ^ { 2 } - 12 x + 6 + \frac { 8 } { x + 2 }$
C) $3 x ^ { 2 } - 12 x + 1$
D) $x ^ { 2 } - 12 x + 3 - \frac { 6 } { x + 2 }$
E)none of these

Question

Use synthetic division to perform the division. 
 $\frac { 3 x ^ { 3 } - 6 x ^ { 2 } - 23 x + 8 } { x + 2 }$  
A) $3 x ^ { 2 } - 12 x + 1 + \frac { 6 } { x + 2 }$
B) $3 x ^ { 2 } - 12 x + 6 + \frac { 8 } { x + 2 }$
C) $3 x ^ { 2 } - 12 x + 1$
D) $x ^ { 2 } - 12 x + 3 - \frac { 6 } { x + 2 }$
E)none of these

Quizplus · Accepted Answer

Synthetic division:```x + 2 | 3x^3 - 6x^2 - 23x + 8       | 3x^2 - 12x + 1       |--------------------       | 6```Therefore, the quotient is $3x^2 - 12x + 1$ and the remainder is 6. So, the answer is $\boxed{3x^2 - 12x + 1 + \frac{6}{x+2}}$.

Use Synthetic Division to Perform the Division 3x3−6x2−23x+8x+2\frac { 3 x ^ { 3 } - 6 x ^ { 2 } - 23 x + 8 } { x + 2 }x+23x3−6x2−23x+8​

Use Synthetic Division to Perform the Division $\frac { 3 x ^ { 3 } - 6 x ^ { 2 } - 23 x + 8 } { x + 2 }$