Applied Practice with Multiplying Polynomials Topic Index | Algebra Index | Regents Exam Prep Center

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.

 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:

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