The area of a rectangle is modeled by the polynomial (8x^3-6x^2-5x+3) square units. The width of the rectangle is modeled by the polynomial (x+3/4) units. Showing all work, write a polynomial that represents the length of the rectangle.

Given:

Area of a rectangle =

Width of the rectangle =

To find:

The polynomial that represents the length of the rectangle.

Solution:

We know that,

Area of a rectangle = Length × width

It can be written as

On substituting the values, we get

Splitting the middle terms, we get

Again splitting the middle term, we get

On simplification, we get

Therefore, the polynomial that represents the length of the rectangle is .

this answer is !