1. Polynomial Functions

2. Fundamental Theorem of Algebra: a polynomial with degree n, will have exactly n roots (some may be real, some may be imaginary) Polynomials with some real and some imaginary roots

3. Use a calculator to find all roots of 1. y=x 3 -4x 2 -2x + 8 2. 12x 3 – 19x 2 –x + 6

4. 3) Write a polynomial function with roots 2, 4, and -3 4) Write a polynomial -1,2, and -7

5. Remember imaginary numbers? Imaginary number (i) = √-1 i 0 - i= i 2 = i 3 = I 4=

6. 5) Write a polynomial with roots 3, 2i, -2i

9. a)Write a polynomial function that best models the data b)Predict the amount of waster produced in 2015