Use synthetic division to perform the division.
-$$\frac { - 6 x ^ { 3 } + 2 x ^ { 2 } + 5 x - 10 } { x - 2 }$$
A) $- 6 x ^ { 2 } - 10 x - 5 + \frac { - 10 } { x - 2 }$
B) $- 6 x ^ { 2 } - 10 x - 15 + \frac { - 40 } { x - 2 }$
C) $- 6 x ^ { 2 } - 10 x - 15 + \frac { - 25 } { x - 2 }$
D) $- 6 x ^ { 2 } - 10 x - 25 + \frac { - 40 } { x - 2 }$

Question

Quizplus · Accepted Answer

To perform synthetic division with $\frac{-6x^3 + 2x^2 + 5x - 10}{x - 2}$, we set up the division with 2 (since we are dividing by $x - 2$) and the coefficients of the polynomial: -6, 2, 5, -10. The synthetic division process gives us -6 for $x^2$, -10 for $x$, and -15 as the constant term, with a remainder of -40. Thus, the correct division is $-6x^2 - 10x - 15 + \frac{-40}{x - 2}$.

Use Synthetic Division to Perform the Division −6x3+2x2+5x−10x−2\frac { - 6 x ^ { 3 } + 2 x ^ { 2 } + 5 x - 10 } { x - 2 }x−2−6x3+2x2+5x−10​

Use Synthetic Division to Perform the Division $\frac { - 6 x ^ { 3 } + 2 x ^ { 2 } + 5 x - 10 } { x - 2 }$