Prove that x¹ + 1 = (x² + √2x+1)(x²-√2+1). the complex numbers. Find similar factorizations for 78 +1 and 2¹6 +1. HINT: 78 + 1 = (x²)4 + 1. Then factor z¹+1 into linear factors over
Prove that x¹ + 1 = (x² + √2x+1)(x²-√2+1). the complex numbers. Find similar factorizations for 78 +1 and 2¹6 +1. HINT: 78 + 1 = (x²)4 + 1. Then factor z¹+1 into linear factors over
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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Transcribed Image Text:Prove that x¹ + 1 = (x² + √√2x+1)(x² -√2+1). Then factor x¹ +1 into linear factors over
the complex numbers.
Find similar factorizations for 78 +1 and ¹6+ 1. HINT: 28 + 1 = (x²)4 + 1.
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