49) Let P(z) = ao + a1z +……. 1 order n at o∞. Consider + anz" be a polynomial of degree n. Show that 1/P(z) has a zero of P(1/w)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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+ anz" be a polynomial of degree n. Show that 1/P(z) has a zero of
49) Let P(z) = ao + a1z + ·….
1
order n at oo. Consider
P(1/w)
Transcribed Image Text:+ anz" be a polynomial of degree n. Show that 1/P(z) has a zero of 49) Let P(z) = ao + a1z + ·…. 1 order n at oo. Consider P(1/w)
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