The Fundamental Theorem of Algebra, [22], states that a non-zero polynomial of degree n has at most

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The Fundamental Theorem of Algebra, [22], states that a non-zero polynomial of degree n has at most n distinct real roots p(x) = 0. Use this fact to prove linear independence of the monomial functions 1,x,x2. . . , xn.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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