Question

Divide: (-4x^3+35x+25)÷(-2x-5)

Answer 1

Explanation:

B. 2x^2 -5x -5

Answer 2

Answer: The required answer is
`2x^2-5x-5.`

Step-by-step explanation: We are given to divide the following algebraic fraction :

`F=(-4x^3+35x+25)/(-2x-5).`

We will try to write the cubic numerator as a product of a linear factor (denominator) and a quadratic factor.

The simplification is as follows :

`F\\\\=(-4x^3+35x+25)/(-2x-5)\\\\\\=(-(4x^3-35x-25))/(-(2x+5))\\\\\\=(4x^3-35x-25)/(2x+5)\\\\\\=(2x^2(2x+5)-5x(2x+5)-5(2x+5))/(2x+5)\\\\\\=((2x+5)(2x^2-5x-5))/((2x+5))\\\\=2x^2-5x-5.`

Thus, the required answer is
`2x^2-5x-5.`