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Unformatted text preview: zeros occur as conjugate pairs. Fact 2 : A polynomial of degree n 1 can always be factored into n linear factors, if complex numbers are allowed in the linear factors. Section 3.4: The corollary of the Intermediate Value Theorem If f is a polyno-mial of ODD degree, then f has at least ONE real zero. Question : How can you prove the corollary, using the above two facts of the polynomial of REAL coecients? 2 The Fundamental Theorem of Algebra A polynomial of degree n 1 has at least one COMPLEX zero. Remember that a real number is a complex number with the imaginary part equal to 0. Example 1 1 Example 2 2...
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