﻿ GreeneMath.com - Dividing a Polynomial by a Monomial Test
Polynomial/Monomial Test
About Dividing a Polynomial by a Monomial:

When we divide with polynomials, we begin with the simplest process: dividing a polynomial by a monomial. To divide a polynomial by a monomial, we setup the problem as a fraction. Next, we divide each term of the numerator by the denominator and report our answer.

Test Objectives:

•Demonstrate the ability to setup the division of a polynomial by a monomial in fractional form

•Demonstrate the ability to divide a polynomial by a monomial

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

Dividing a Polynomial by a Monomial Test:

#1:

Instructions: Find each quotient.

a) (32b3 + 4b2 + 32b) ÷ (8b)

b) (-18a4 + 2a3 - 18a2) ÷ (-6a3)

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#2:

Instructions: Find each quotient.

a) (12r5 - 4r4 + 2r3) ÷ (4r2)

b) (-3n3 + 18n2 - 6n) ÷ (-6n3)

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#3:

Instructions: Find each quotient.

a) (2x5y3 + 8x4y2 - 4x3y) ÷ (-2x2y2)

b) (-15a4b7 - 20a2b6 + 5ab3 - 4) ÷ (-20a2b)

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#4:

Instructions: Find each quotient.

a)

 ( 3x7y3 - 2x4y2 + 2xy - 3 ) ÷ 4xy5 5 7 3

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#5:

Instructions: Find each quotient.

a)

 ( -4x3y2 + 8x2y - 12x ) ÷ 20x9y7 5 3

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Written Solutions:

#1:

Solution:

a)

 4b2 + b + 4 2

b)

 3a - 1 + 3 3 a

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#2:

Solution:

a)

 3r3 - r2 + r 2

b)

 1 - 3 + 1 2 n n2

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#3:

Solution:

a)

 -x3y - 4x2 + 2x y

b)

 3a2b6 + b5 - b2 + 1 4 4a 5a2b

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#4:

Solution:

a)

 3x6 - x3 + 1 - 3 20y2 14y3 6y4 4xy5

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#5:

Solution:

a)

 -1 + 2 - 3 25x6y5 15x7y6 5x8y7

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