Use synthetic division to divide.
-$\left( 2 x ^ { 3 } + 13 x ^ { 2 } + 15 x - 20 \right) \div ( x + 4 )$
A) $- 2 x ^ { 2 } - 4 x - 5$
B) $2 x + 5$
C) $2 x ^ { 2 } + 5 x - 5$
D) $\frac { 1 } { 2 } x ^ { 2 } + \frac { 13 } { 4 } x + \frac { 15 } { 4 }$

Question

Quizplus · Accepted Answer

Using synthetic division with -4 (since we are dividing by $x + 4$), the coefficients of the polynomial $2x^3 + 13x^2 + 15x - 20$ become 2, 13, 15, -20. The synthetic division process yields a quotient of $2x^2 + 5x - 5$, making option C correct.

Use Synthetic Division to Divide (2x3+13x2+15x−20)÷(x+4)\left( 2 x ^ { 3 } + 13 x ^ { 2 } + 15 x - 20 \right) \div ( x + 4 )(2x3+13x2+15x−20)÷(x+4)

Use Synthetic Division to Divide $\left( 2 x ^ { 3 } + 13 x ^ { 2 } + 15 x - 20 \right) \div ( x + 4 )$