Choose the one alternative that best completes the statement or answers the question.
Divide
-$\left(4 r^{2}+\frac{45}{7} r-1\right) \div(7 r-1)$
A) $\frac{4}{7} \mathrm{r}+1$
B) $\frac{4}{7} r-1$
C) $-3 r^{2}+\frac{52}{7} r-1$
D) $r^{2}+45 r-1$

Question

Quizplus · Accepted Answer

To divide $\left(4 r^{2}+\frac{45}{7} r-1\right) \div(7 r-1)$, you can rewrite the division as a fraction: $\frac{4 r^{2}+\frac{45}{7} r-1}{7 r-1}$. Factoring out a common term or using polynomial long division, you find that the divisor $7r-1$ goes into the dividend $4r^2 + \frac{45}{7}r - 1$ to give a quotient of $\frac{4}{7}r + 1$, which matches option A.

Choose the One Alternative That Best Completes the Statement or Answers