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

Answer:

Step-by-step 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 :)