1. 5.7 Completing the Square Ch. 6 Notes Page 38 P38 6.1: Polynomial Functions

2. Polynomial Functions Polynomial Function: where n is a nonnegative integer and a n,…,a 0 are real numbers. Degree: the exponent of a variable Standard Form of a Polynomial: Terms in descending order by degree Degree of a Polynomial: The largest degree of any term in the polynomial ***The degree of a polynomial tells us how many zeros the function has!!!

3. Classifying Polynomials

4. Write each polynomial in standard form. Then classify by degree, name and number of terms.

5. Simplify. Classify each result by the number of terms. *When multiplying like bases, add the exponents. Classifying Polynomials

6. Comparing Models Using a calculator, determine whether a linear, quadratic, or cubic function would best fit the values in the table. **We will need to plot the points and the function on the calc! x05101520 y10.12.88.116.017.8

7. Real Life The table shows gold production for several years. Find a quartic function to model the data. Use it to estimate production of gold in 1988. Year197519801985199019952000 Production (millions of ounces) 38.539.249.370.271.882.6

8. 5.7 Completing the Square 6.1: Polynomial Functions HW #35 6.1: P309 #1, 3, 4, 6, 13, 14, 18, 22, 39, 40, 46, 48