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Division of a Polynomial by a Monomial Help

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By — McGraw-Hill Professional
Updated on Sep 26, 2011

Division of a Polynomial by a Monomial

To divide a polynomial by a monomial, divide each term in the polynomial by the monomial .

Examples

Example 1

Divide 15x 2 + 10x by 5x.

Solution 1

Division of a Polynomial by a Monomial

Example 2

Divide 6x 2 y 3 + 12x 4 y 2 ÷ (-3xy)

Solution 2

Division of a Polynomial by a Monomial

Example 3

Divide 15x 3 - 10x 2 + 5x by 5.

Solution 3

Division of a Polynomial by a Monomial

Division of a Polynomial by a Monomial Practice Problems

Practice

Divide:

1. (21x 2 - 14x) ÷ 7x

2. (30x 2 + 20x + 15) ÷ 5

3. (18x 2 y 3 + 12x 4 y 2 ) ÷ (-6x)

4. (a 3 b 2 + 2a 4 b - 5a 2 b 2 ) ÷ ab

5. (8x 3 y 2 z - 12x 4 yz 2 ) ÷ (-4xyz)

Answers

1. 3x - 2

2. 6x 2 + 4x + 3

3. -3xy 3 - 2x 3 y 2

4. a 2 b + 2a 3 - 5ab

5. -2x 2 y + 3x 3 z

Practice problems for these concepts can be found at: Operations with Monomials and Polynomials Practice Test.

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