Polynomial Operations Worksheets

Printable polynomial worksheets:
Add & Subtract Polynomials
Multiply Polynomials
Divide Polynomials
Polynomial Operations

Examples, solutions, videos, and worksheets to help Algebra II students learn how to perform arithmetic operations on polynomials and write them in standard form.

How to perform Polynomial Operations?

Polynomials are algebraic expressions consisting of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.

Basic Operations with Polynomials

1. Addition and Subtraction:
   Combine like terms: Terms with the same variable and exponent can be added or subtracted.
   
2. Multiplication:
   Use the distributive property: Multiply each term of one polynomial by each term of the other polynomial.
   
3. Division:
   Long division or synthetic division: These methods are used for dividing polynomials by binomials or linear factors.

Key Points to Remember:
Combine like terms: Only terms with the same variable and exponent can be combined.
Distributive property: Multiply each term in one polynomial by each term in the other.
Exponent rules: When multiplying terms with the same base, add the exponents. When dividing terms with the same base, subtract the exponents.
Remainder: In polynomial division, if there’s a remainder, it can be expressed as a fraction with the divisor as the denominator.

Have a look at this video if you need to review how to perform Polynomial Operations.

• Polynomials - Adding, Subtracting, Multiplying and Dividing Algebraic Expressions

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More Polynomial Operations Worksheets

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(Answers on the second page.)
Polynomial Operations Worksheet #1
Polynomial Operations Worksheet #2
Polynomial Operations Worksheet #3

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Polynomial Operations

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