Section 4.1 Polynomial Functions and Models. Summary of the Properties of the Graphs of Polynomial Functions. Find a polynomial of degree 3 whose zeros are -4, -2, and 3. Use a graphing utility to verify your result. For the polynomial, list all zeros and their multiplicities.
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Polynomial Functions and Models
Use a graphing utility to verify your result.
2 is a zero of multiplicity 1 because the exponent on the factor x – 2 is 1.
–1 is a zero of multiplicity 3 because the exponent on the factor x + 1 is 3.
3 is a zero of multiplicity 4 because the exponent on the factor x – 3 is 4.