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Dividing Polynomials (Missing Terms) Test
About Dividing Polynomials with Missing Terms:

Now that we have a general understanding of how to perform polynomial long division, we encounter another obstacle: missing terms. When are dividing polynomials and discover missing terms, we write a “0” in as a place holder for any missing term.

Test Objectives:

•Demonstrate the ability to setup a long division with polynomials

•Demonstrate the ability to divide polynomials with missing terms

•Demonstrate the ability to check the result of a polynomial division

Dividing Polynomials with Missing Terms Test:




#1:


Instructions: Find each quotient.


a) (x3 - 4x2 + 3) ÷ (x - 1)


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#2:


Instructions: Find each quotient.


a) (8x3 + 61x2 - 9) ÷ (8x - 3)


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#3:


Instructions: Find each quotient.


a) (6p3 - 43p2 + 45) ÷ (6p - 7)


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#4:


Instructions: Find each quotient.


a) (3x5 + 5x4 - 2x3 - 36x2 - 60x + 24) ÷ (x3 - 12)


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#5:


Instructions: Find each quotient.


a) (-10x4 + 6x3 - 4x2 + 8x - 2) ÷ (x3 - 12)


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Written Solutions:




#1:


Solution:


a) x2 - 3x - 3


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#2:


Solution:


a) x2 + 8x + 3


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#3:


Solution:


a)


p2 - 6p - 7 +  -4
6p - 7

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#4:


Solution:


a) 3x2 + 5x - 2


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#5:


Solution:


a)


-10x + 6  +  -4x2 - 112x + 70
x3 - 12

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