SOLUTION: The width, w, of a rectangular garden is x-2.The area of a garden is x3 - 2x -4. What is an expression for the length of the garden?

Algebra ->  Functions -> SOLUTION: The width, w, of a rectangular garden is x-2.The area of a garden is x3 - 2x -4. What is an expression for the length of the garden?      Log On


   

Question 935757: The width, w, of a rectangular garden is x-2.The area of a garden is x3 - 2x -4. What is an expression for the length of the garden?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The width, W, of a rectangular garden is x-2.
The area of a garden is x%5E3+-2x-4.
The area of a garden is W%2AL; so, factor x%5E3+-2x-4 so that W is one factor and L other factor
x%5E3+-2x-4....write -2x as 2x-4x and add 2x%5E2 and -2x%5E2
x%5E3%2B2x%5E2%2B2x-2x%5E2-4x-4...group
%28x%5E3-2x%5E2%29%2B%282x%5E2-4x%29%2B%282x-4%29
x%5E2%28x-2%29%2B2x%28x-2%29%2B2%28x-2%29
%28x-2%29%28x%5E2%2B2x%2B2%29
so, an expression for the length of the garden is x%5E2%2B2x%2B2