Practice Homework 9 - Complex Variables | MATH 40480, Assignments of Mathematics

Material Type: Assignment; Class: Complex Variables; Subject: Mathematics; University: Notre Dame; Term: Spring 2005;

Typology: Assignments

Pre 2010

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Math 425, Spring 2005 Homework
Assignment 9, due Friday, April 7
Reread section 2.6. Read sections 3.1-3.2.
Do:
§2.6 p. 167 #14,17,21
§3.1 p. 179 #2,7,10,13,16,17
§3.2 p. 194 #1,5,6,8
Also:
Let p(z) be a polynomial of positive degree with real coefficients. Show that
p(z) = p1(z)· · · pm(z) where each pjis a polynomial of degree 1 with real
coefficients or a polynomial of degree 2 with real coefficients and no real
roots.
Reminder
Your choice of topic for the project is due by April 5.

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Math 425, Spring 2005 Homework

Assignment 9, due Friday, April 7

Reread section 2.6. Read sections 3.1-3.2.

Do: §2.6 p. 167 #14,17, §3.1 p. 179 #2,7,10,13,16, §3.2 p. 194 #1,5,6, Also: Let p(z) be a polynomial of positive degree with real coefficients. Show that p(z) = p 1 (z) · · · pm(z) where each pj is a polynomial of degree 1 with real coefficients or a polynomial of degree 2 with real coefficients and no real roots.

Reminder

Your choice of topic for the project is due by April 5.