Conjugate Pairs Theorem Every complex polynomial function of degree n  1 has exactly n complex zeros, some of which may repeat. 1) A polynomial function.

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Presentation transcript:

Conjugate Pairs Theorem Every complex polynomial function of degree n  1 has exactly n complex zeros, some of which may repeat. 1) A polynomial function of degree three has 2 and 3 + i as it zeros. What is the other zero? Examples

2) A polynomial function of degree 5 has 4, 2 + 3i, and 5i as it zeros. What are the other zeros? Examples 3) A polynomial function of degree 4 has 2 with a zero multiplicity of 2 and 2 – i as it zeros. What are the zeros?

Examples 4) A polynomial function of degree 4 has 2 with a zero multiplicity of 2 and 2 – i as it zeros. What is the function?

Find the remaining complex zeros of the given polynomial functions

Long Division