Polynomial investigation

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Presentation transcript:

Polynomial investigation Part 2

For the following higher order polynomials, follow the directions and answer the following questions. 1. y = x4 + 7x³ + 7x² - 15x – 8 2. y = x³ + 7x² + 7x – 15 Graph #1 in your calculator. Then in the following “y=”: change the constant make the leading coefficient negative change the leading coefficient to a larger number change the leading coefficient to a small number (between 0 and 1) Do the same for #2

Answer the following questions What does the constant determine about the polynomial? What does a negative leading coefficient determine? What does the actual leading coefficient determine (big number vs small number)?