Use synthetic division to find the quotient.
-$\frac{x^{3}+\frac{7}{3} x^{2}-\frac{7}{3} x-1}{x+\frac{1}{3}}$
A) $x^{2}+2 x-6$
B) $x^{2}-\frac{13}{3} x+\frac{-13}{x+1}$
C) $x^{2}+2 x-3$
D) $x^{2}-\frac{13}{3} x+\frac{14}{9}-\frac{16}{27}$

Question

Quizplus · Accepted Answer

The correct quotient after using synthetic division with $x + \frac{1}{3}$ is $x^{2} + 2x - 3$.

Use Synthetic Division to Find the Quotient x3+73x2−73x−1x+13\frac{x^{3}+\frac{7}{3} x^{2}-\frac{7}{3} x-1}{x+\frac{1}{3}}x+31​x3+37​x2−37​x−1​ A) x2+2x−6x^{2}+2 x-6x2+2x−6

Use Synthetic Division to Find the Quotient $\frac{x^{3}+\frac{7}{3} x^{2}-\frac{7}{3} x-1}{x+\frac{1}{3}}$ A) $x^{2}+2 x-6$