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Unformatted text preview: f , then p must divide a and q must divide a n . Example: List the rational zeros of f ( x ) = x 3 + x 2-4 x-4. Complex Zeros: Consider f ( x ) = x 2 + 4. What are the zeros of f ? If a + bi , where b 6 = 0 , is a zero of a polynomial function f , then . . . is also a zero of the function. Remark: A polynomial function with real coeﬃcients of odd degree has at least one real zero. Examples: 1. Given that 1-√ 3 i is a zero of h ( x ) = 3 x 3-4 x 2 + 8 x + 8, ﬁnd the remaining zeros. 2. Find a polynomial function f with integer coeﬃcients that has the zeros 2, -1, 3 + √ 2 i and whose graph passes through (0, -44)....
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- Fall '10
- Algebra, Complex number, polynomial function, nth degree polynomial