Question

The width, w, of a rectangular playground is x+3. The area of the playground is x^3-7x+6 what is an expression for the length of the playground?

Answer 1

1. Factor x^3 - 7x + 6 using Polynomial Division:
(x^2 + x - 6)(x - 1)
2. Factor x^2 + x - 6:
(x - 2)(x + 3)(x - 1)

Answer 2

Explanation:

Alright, lets get started.

The width w is given as :
`(x+3)`

The area A is given as :
`x^3-7x+6`

Suppose the length is L

The formula of area A is :
`width*length`

`x^3-7x+6=(x+3)*L`

factoring,

`(x-2)(x-1)(x+3)=(x+3)*L`

Dividing (x+3) in both sides

`(x-2)(x-1)=L`

So, the expression for the length of the playground is (x-2)(x-1) or
`x^2-3x+2` : Answer

Hope it will help :)