Divide the polynomials by using an appropriate method. $$\left( 20 r ^ { 4 } - 28 r ^ { 3 } - 38 r ^ { 2 } + 15 r + 9 \right) \div \left( - 4 r ^ { 2 } + 2 \right)$$
A) $- 5 r ^ { 2 } + 7 r + 7 + \frac { r - 5 } { - 4 r ^ { 2 } + 2 }$
B) $- 5 r ^ { 2 } + 7 r - 7 + \frac { - 6 r - 5 } { - 4 r ^ { 2 } + 2 }$
C) $- 5 r ^ { 2 } + 7 r - 7$
D) $- 5 r ^ { 2 } + 7 r + 7$

Question

Quizplus · Accepted Answer

The correct answer is obtained by dividing the given polynomial by $-4r^2 + 2$. The division process yields a quotient of $-5r^2 + 7r + 7$ and a remainder of $r - 5$, which when placed over the divisor $-4r^2 + 2$, gives the complete answer as $-5r^2 + 7r + 7 + \frac{r - 5}{-4r^2 + 2}$.

Divide the Polynomials by Using an Appropriate Method (20r4−28r3−38r2+15r+9)÷(−4r2+2)\left( 20 r ^ { 4 } - 28 r ^ { 3 } - 38 r ^ { 2 } + 15 r + 9 \right) \div \left( - 4 r ^ { 2 } + 2 \right)(20r4−28r3−38r2+15r+9)÷(−4r2+2)

Divide the Polynomials by Using an Appropriate Method $\left( 20 r ^ { 4 } - 28 r ^ { 3 } - 38 r ^ { 2 } + 15 r + 9 \right) \div \left( - 4 r ^ { 2 } + 2 \right)$