8-1 Adding and Subtracting Polynomials

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8-1 Adding and Subtracting Polynomials

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8-1 Adding and Subtracting Polynomials. Monomial: a real number, variable, or a product of a real number and one or more variables Example: 18z. 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. - PowerPoint PPT Presentation

Transcript of 8-1 Adding and Subtracting Polynomials

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8-1 Adding and Subtracting Polynomials

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Monomial: a real number, variable, or a product of a real number and one or more variables

Example: 18 z

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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

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Problem 1: Finding the Degree of a Monomial

What is the degree of each monomial?

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Problem 2: Adding and Subtracting Monomials

What is the sum or difference?

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

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Problem 4: Adding Polynomials

Simplify:3 3(5 8) (6 3)r r

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Simplify:3 2 2( 12 106 241 4477) (14 14 1545)x x x x x

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Problem 5: Subtracting Polynomials

Simplify:

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Simplify: