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anonymous

  • 5 years ago

What is the relationship between the degree of a polynomial and the number of zeros (roots) it posses? Be sure to explain in your answer how prime polynomials violate this relationship.

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  1. anonymous
    • 5 years ago
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    If I remember correctly, a n-th degree polynomial has exactly n roots, although they may be real or complex. A n-th degree polynomial will have at most n real roots. A prime polynomial of degree n will not have n real roots, for example: f(x) = x^2 + 4 has no real roots (try to factor it), but 2 complex ones, namely +/- 2i

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