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Expression — a collection of numbers, variables, and operation signs that represents a number

Intro to Polynomials. Expression — a collection of numbers, variables, and operation signs that represents a number Terms — parts of an expression separated by + or – signs Factors — numbers, variables, terms, or expressions that are multiplied together. What’s a Polynomial?.

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Expression — a collection of numbers, variables, and operation signs that represents a number

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  1. Intro to Polynomials Expression—a collection of numbers, variables, and operation signs that represents a number Terms—parts of an expression separated by + or – signs Factors—numbers, variables, terms, or expressions that are multiplied together

  2. What’s a Polynomial? Poly—more than one; many Nomial—term Polynomial—more than one term; many terms More specifically, a polynomial is an expression that meets the following conditions: • All terms have variables that are raised to positive, whole number exponents (no negative or fractional exponents) • None of the variables are in the denominator of a fraction

  3. Degree of a Polynomial The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the variable exponents.

  4. Write a polynomial that meets the following criteria… • Has 1 variable • Has 3 terms • Has 2 coefficients • Is 4th degree

  5. Naming Polynomials By Degree Constant—”0 degree” Linear—1st degree Quadratic—2nd degree Cubic—3rd degree Quartic—4th degree Quintic—5th degree 6th degree 7th degree By # of Terms Monomial—1 term Binomial—2 terms Trinomial—3 terms Polynomial—4+ terms Example: _______________ _______________ Quadratic Trinomial By degree By # terms

  6. Name the following polynomials: 1. (linear binomial) 2. (5th degree polynomial) 3. 7 (constant monomial) 4. (quadratic trinomial)

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