A polynomial P is given. P(x) = x4 + 18x2 + 81 (a) Factor P into linear and irreducible quadratic factors with real coefficients. P(x) = (b) Factor P completely into linear factors with complex coefficients. P(x) =|
A polynomial P is given. P(x) = x4 + 18x2 + 81 (a) Factor P into linear and irreducible quadratic factors with real coefficients. P(x) = (b) Factor P completely into linear factors with complex coefficients. P(x) =|
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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![A polynomial \( P \) is given.
\[ P(x) = x^4 + 18x^2 + 81 \]
(a) Factor \( P \) into linear and irreducible quadratic factors with real coefficients.
\[ P(x) = \text{[blank box]} \]
(b) Factor \( P \) completely into linear factors with complex coefficients.
\[ P(x) = \text{[blank box]} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aa05981-3320-4990-a2b7-c04e7a959e48%2F5d2b0b41-3b3e-489f-bda9-0c8e54bf6034%2Fsrgmgef_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A polynomial \( P \) is given.
\[ P(x) = x^4 + 18x^2 + 81 \]
(a) Factor \( P \) into linear and irreducible quadratic factors with real coefficients.
\[ P(x) = \text{[blank box]} \]
(b) Factor \( P \) completely into linear factors with complex coefficients.
\[ P(x) = \text{[blank box]} \]
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