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**7.1 An Introduction to Polynomials**

Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. Warm-up (IN)

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**Exponents are in decreasing order, left to right**

Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. Notes Monomial - A number, variable, or the product of a number and one or more variables Polynomial function - Can be written as a monomial or a sum of monomials with whole # exponents Standard form - Exponents are in decreasing order, left to right degree of a polynomial - highest exponent leading coefficient - # in front of highest exponent

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**Degree Type Standard form # of terms monomial constant binomial 1**

Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. Degree Type Standard form # of terms monomial constant binomial 1 linear trinomial quadratic 2 Polynomial 3 cubic 4 quartic Polynomial 5 quintic Polynomial

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**EX 1 – classify each polynomial by degree and by number of terms**

Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. EX 1 – classify each polynomial by degree and by number of terms quartic cubic polynomial trinomial quadratic monomial

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**EX 2 – evaluate each polynomial for the given value of x.**

Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. EX 2 – evaluate each polynomial for the given value of x.

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Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. EX 3 – add or subtract

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**EX 3 – graph each function. Describe its general shape**

Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. EX 3 – graph each function. Describe its general shape cubic S-shaped quartic w-shaped 2 turns 3 turns

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Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. cubic Always increasing quartic U-shaped 0 turns 1 turn

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**Out – Describe how to find the degree of a polynomial function.**

Summary – Wow! Now, I can… HW – TBD

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