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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.

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Presentation on theme: "7.1 An Introduction to Polynomials Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the."— Presentation transcript:

1 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)

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

3 Learning Objective: To identify, classify, evaluate, add, and subtract polynomials. Also to describe the shape of the graph. Degree Type Standard form 0 constant 1 linear 2 quadratic 3 cubic # of terms monomial binomial trinomial Polynomial 4 quartic Polynomial 5 quintic Polynomial

4 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 trinomial quartic cubic polynomial quadraticmonomial

5 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.

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

7 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 2 turns quarticw-shaped 3 turns

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

9 HW – TBD Out – Describe how to find the degree of a polynomial function. Summary – Wow! Now, I can…


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