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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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Polynomial Functions Unit 4. Polynomials Monomial—a number, variable, or product of numbers and variables all raised to whole number powers Polynomial.

Polynomial Functions Unit 4. Polynomials Monomial—a number, variable, or product of numbers and variables all raised to whole number powers Polynomial.

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