Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Review - Concept Check - Page 319: 10

Answer

(a) The Fundamental Theorem of Algebra states that every polynomial with complex coefficients has at least one complex zero. (b)The Complete Factorization Theorem states that a polynomial of degree $n\geq1$ can be factorized into n linear terms with complex or real numbers as zeros. (c) The Zeros Theorem states that Every polynomial of degree $n\geq1$ has exactly n zeros, provided that a zero of multiplicity k is counted k times. (d) The Conjugate Zeros Theorem states that If the polynomial P has real coefficients and if the complex number z is a zero of P, then its complex conjugate $\bar z$ is also a zero of P.

Work Step by Step

see above.
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