Question

The length a rectangular pan is represented by 5a2 and the area of the rectangular pan is represented by 5a4 + 10a3 - 15a2, find the polynomial expression that represents the width of the pan. Write your answer in descending order. Please use the palette below to enter your answer

Answer 1

`Width = a^2 + 2a - 3`

Explanation:

Given

`Area = 5a^4 + 10a^3 - 15a^2`

`Length = 5a^2`

Required

Determine the Width

The area of a rectangle is calculated using:

`Area= Length * Width`

Make Width the subject

`Width = (Area)/(Length)`

Substitute values for Area and Length

`Width = (5a^4 + 10a^3 - 15a^2)/(5a^2)`

Factorize the numerator

`Width = (5a^2(a^2 + 2a - 3))/(5a^2)`

`Width = a^2 + 2a - 3`

Hence, the polynomial for the width of the rectangle is:

`Width = a^2 + 2a - 3`