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Problem 1: The polynomial P(x) = 2x4 - 6x³ - 4x² +20x24 has a complex zero of k = 1 + i. a. Find the remaining complex zeros and real zeros of the polynomial P(x). Be sure to justify your work using techniques learned in the class and not just list answers using trial and error. b. Write the complete factored form of the polynomial P(x).

Problem 1: The polynomial P(x) = 2x4 - 6x³ - 4x² +20x24 has a complex zero of k = 1 + i. a. Find the remaining complex zeros and real zeros of the polynomial P(x). Be sure to justify your work using techniques learned in the class and not just list answers using trial and error. b. Write the complete factored form of the polynomial P(x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1: The polynomial P(x) = 2x4 - 6x³ - 4x² + 20x - 24 has a complex zero of k = 1 + i. a. Find the remaining complex zeros and real zeros of the polynomial P(x). Be sure to justify your work using techniques learned in the class and not just list answers using trial and error. b. Write the complete factored form of the polynomial P(x). Problem 2: The polynomial P(x)= x³-3x²+x+ 5 with a complex zero k = 2 - i a. Find the remaining complex zeros and real zeros of the polynomial P(x). Be sure to justify your work using techniques learned in the class and not just list answers using trial and error. b. Write the complete factored form of the polynomial P(x).
Transcribed Image Text:Problem 1: The polynomial P(x) = 2x4 - 6x³ - 4x² + 20x - 24 has a complex zero of k = 1 + i. a. Find the remaining complex zeros and real zeros of the polynomial P(x). Be sure to justify your work using techniques learned in the class and not just list answers using trial and error. b. Write the complete factored form of the polynomial P(x). Problem 2: The polynomial P(x)= x³-3x²+x+ 5 with a complex zero k = 2 - i a. Find the remaining complex zeros and real zeros of the polynomial P(x). Be sure to justify your work using techniques learned in the class and not just list answers using trial and error. b. Write the complete factored form of the polynomial P(x).
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