Answer the following questions that utilize polynomials in their
solutions:
1. 
A rectangular swimming pool is twice as
long as it is wide. A small concrete walkway surrounds the pool.
The walkway is a constant 2 feet wide and has an area of 196 square feet.
Find the dimensions of the pool.
Answer#1 


2. 
Think of a number. Subtract 7.
Multiply by 3. Add 30. Divide by 3. Subtract the
original number. The result is always 3. Use polynomials to
illustrate this number trick.
Answer#2


3. 
The side of a cube is represented by
x + 1.
Find, in terms of x,
the volume of the cube.
Answer#3 


4. 
Let an integer be
represented by x.
Find, in terms of x,
the product of three consecutive integers starting with
x.
Answer#4 


5. 
Write a variable expression for the area of a square whose
side is x + 8.
Answer#5 


6. 
The length of a rectangular window is
5 feet more than its width, w. The area
of the window is 36 square feet. Which
equation could be used to find the dimensions of the
window? 

Choose: 

