Question

Given the area of a rectangular pool is 6x^3+19x^2+2x-20 and the length of one side of the pool is 2x+5, find the measure of the missing side.

The missing side length is

Answer 1

The missing side length is 3x^2 + 2x -4

Explanation:

Here, we are interested in calculating the length of the missing side.

Mathematically, the area of a rectangle = L * B

So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;

Thus, the missing side length will be;

6x^3+19x^2+2x-20/2x+ 5

Please check attachment for the polynomial long division

The value of the other factor after the polynomial long division is 3x*2 + 2x -4