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MA.912.A.4.2 Add, Subtract, and Multiply Polynomials

What You Need To Know...

Add, subtract, and multiply polynomials.

  1. The benchmark will be assessed using MC(Multiple Choice) items.
  2. Items may require multiplication of two monomials, a monomial and a binomial, a monomial and a trinomial, or two binomials.
  3. Items may be set in either real-world or mathematical contexts.

Example One

Which expression is equivalent to the perimeter of the shaded portion of the rectangle?


A.  2x + 10
B.  2x + 12
C.  4x + 14  
D.  8x + 28  


Example Two

New photo imaging techniques on computers allow artists to distort an image from its original shape. Figure 1 is a square image.  Figure 2 is stretched 4 units wider and shrunk 4 units shorter than Figure 1.



How many square units greater is the area of Figure 1 than the area of Figure 2?

Answer grid.jpg



Additional Examples


Adding Polynomials

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Subtracting Polynomials

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Multuiplying Monomials

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Monomial by a Polynomial

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Multiplying Binomials

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Applying Polynomials

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Reference Sheet