### 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 set up 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

#1:

Instructions: Find each quotient.

a) (x^{3} - 4x^{2} + 3) ÷ (x - 1)

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#2:

Instructions: Find each quotient.

a) (8x^{3} + 61x^{2} - 9) ÷ (8x - 3)

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#3:

Instructions: Find each quotient.

a) (6p^{3} - 43p^{2} + 45) ÷ (6p - 7)

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#4:

Instructions: Find each quotient.

a) (3x^{5} + 5x^{4} - 2x^{3} - 36x^{2} - 60x + 24) ÷ (x^{3} - 12)

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#5:

Instructions: Find each quotient.

a) (-10x^{4} + 6x^{3} - 4x^{2} + 8x - 2) ÷ (x^{3} - 12)

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Written Solutions:

#1:

Solutions:

a) x^{2} - 3x - 3

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#2:

Solutions:

a) x^{2} + 8x + 3

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#3:

Solutions:

a)

p^{2} - 6p - 7 + | -4 |

6p - 7 |

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#4:

Solutions:

a) 3x^{2} + 5x - 2

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#5:

Solutions:

a)

-10x + 6 + | -4x^{2} - 112x + 70 |

x^{3} - 12 |