polynomial with no zeroes
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For non-zero complex polynomials, this turns out to be true in general and follows directly from the fundamental theorem of algebra. Indeed, a polynomial of degree 0 takes on the form c0 , where c0≠0 c 0 ≠ 0 , and thus has no zeros. where f1(x) f 1 ( x ) is a non-zero polynomial of degree n−1.
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Step-by-step explanation:
For non-zero complex polynomials, this turns out to be true in general and follows directly from the fundamental theorem of algebra. Indeed, a polynomial of degree 0 takes on the form c0 , where c0≠0 c 0 ≠ 0 , and thus has no zeros. where f1(x) f 1 ( x ) is a non-zero polynomial of degree n−1.
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