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

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Presentation transcript:

Polynomial Functions

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

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

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

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

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

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