9. Let p (2) be a polynomial of degree n with no real zeros and let R > 2. Draw the zero/pole diagram for the integrand

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9 Let P 2 Be A Polynomial Of Degree N With No Real Zeros And Let R 2 Draw The Zero Pole Diagram For The Integrand 1 (29.72 KiB) Viewed 33 times

9. Let p (2) be a polynomial of degree n with no real zeros and let R > 2. Draw the zero/pole diagram for the integrand of $ p(z) dz 2" (2² - 4) J2R and then prove that the integral approaches 0 as Roo. What does that imply is the relationship between the residues of the poles inside of the curve |z| = R (be explicit)? Bonus (5 points): Use the residues of the poles at 2 and -2 to compute P(2) Res 202¹ (2²4)