# DIVIDING POLYNOMIALS BY MONOMIALS WORKSHEET

To divide a polynomial by a monomial, we can decompose the fraction into many fractions. Using the operations on exponents, we can simplify further.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

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Problem 8 :

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Problem 9 :

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Problem 10 :

Solution

Problem 11 :

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Problem 12 :

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Problem 13 :

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Problem 14 :

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Problem 15 :

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Problem 16 :

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Problem 17 :

Solution

Problem 1 :

(2x5 – 15x3 – 9x2 + 11x + 12) ÷ (x + 2)

Problem 2 :

(x4 – x3 – 19x2 - 3x - 19) ÷ (x - 5)

Problem 3 :

(10x4 – 4x3 + 14x2 - 14x - 16) ÷ (2x - 2)

Problem 4 :

(9x5 – 9x4 – x3 - 12x2 + x - 11) ÷ (3x - 5)

Problem 5 :

(16x4 + 4x3 + 2x2 - 21x + 7) ÷ (4x - 1)

Problem 6 :

(6x5 + 21x4 – 14x3 - 8x2 + x - 6) ÷ (x + 4)

1)  Quotient = 2x4 – 4x3 – 7x2 + 5x + 1

Remainder = 10

2)  Quotient = x3 + 4x2 + x + 2

Remainder = -9

3)  Quotient = 5x3 + 3x2 + 10x + 3

Remainder = -5

4)  Quotient = 3x4 + 2x3 + 3x2 + x + 2

Remainder = -1

5)  Quotient = 4x3 + 2x2 + x - 5

Remainder = 2

6)  Quotient = 6x4 - 3x3 - 2x2 + 0x + 1

Remainder = -10

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