Divide.
-$$\left( 25 x ^ { 3 } - 10 x ^ { 2 } - 23 x + 14 \right) \div ( - 5 x - 2 )$$
A) $- 5 x ^ { 2 } + 4 x + 3 + \frac { 20 } { - 5 x - 2 }$
B) $- 5 x ^ { 2 } + 4 x + 3 + \frac { 23 } { - 5 x - 2 }$
C) $- 5 x ^ { 2 } + 4 x + 3$
D) $x ^ { 2 } + 3 + \frac { 23 } { - 5 x - 2 }$

Question

Quizplus · Accepted Answer

Using long division, we get:```-5x - 2 | 25x^3 - 10x^2 - 23x + 14         | -25x^3 + 10x^2         | -------------------         | -23x + 14         | -23x + 9         | -------------------         | 5```Therefore, the quotient is $-5x^2 + 4x + 3$ and the remainder is 5. So the answer is $-5x^2 + 4x + 3 + \frac{5}{-5x-2}$.

Divide - (25x3−10x2−23x+14)÷(−5x−2)\left( 25 x ^ { 3 } - 10 x ^ { 2 } - 23 x + 14 \right) \div ( - 5 x - 2 )(25x3−10x2−23x+14)÷(−5x−2)

Divide
- $\left( 25 x ^ { 3 } - 10 x ^ { 2 } - 23 x + 14 \right) \div ( - 5 x - 2 )$