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

Using synthetic division with -2 (the root of x + 2 = 0), the coefficients of the dividend $3x^3 - 6x^2 - 23x + 8$ become 3, -6, -23, 8. The synthetic division process yields a quotient of $3x^2 - 12x + 1$ and a remainder of 6, leading to the answer $3x^2 - 12x + 1 + \frac{6}{x + 2}$.

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 $\frac { 3 x ^ { 3 } - 6 x ^ { 2 } - 23 x + 8 } { x + 2 }$