Question 40722
The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle

Since the area of a rectangle is:

A = (length)(width) you will need two factors.  One for the width and one for the length.  

The easiest way is to factor 3x^2 + 5x:

(x)(3x + 5)  Since (x) is the smallest factor it should be the width and (3x+5) will be the length.

To check, plug in the factors into the formula for an Area:

A = (length)(width)
A = (x)(3x + 5) = 3x^2 + 5x