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8-1 Adding and Subtracting Polynomials

Learn how to add and subtract monomials, determine the degree of a monomial, classify polynomials, and simplify polynomial expressions. Practice problems included.

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8-1 Adding and Subtracting Polynomials

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  1. 8-1 Adding and Subtracting Polynomials

  2. Monomial: a real number, variable, or a product of a real number and one or more variables Example: 18 z

  3. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero has no degree

  4. Problem 1: Finding the Degree of a Monomial What is the degree of each monomial?

  5. Problem 2: Adding and Subtracting Monomials What is the sum or difference?

  6. Problem 3: Classifying Polynomials Write each polynomial in standard form. What is the name of the polynomial based on its degree and number of terms?

  7. Problem 4: Adding Polynomials Simplify:

  8. Simplify:

  9. Problem 5: Subtracting Polynomials Simplify:

  10. Simplify:

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