A polynomial is known to have the following roots x₁ = 4.9+ -4.3 i x2 = 2.3 x3 = (4.6) ¹/2 Determine the expression of the polynomial with rational coefficients and of minimum degree of the form n P(x) = Σ aixi - Σ a₁x i=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A polynomial is known to have the following roots
x₁ = 4.9+ -4.3 i
3
x2 = 2.3
x3 = (4.6) ¹/2
2
Determine the expression of the polynomial with rational coefficients and of minimum degree of the form
n
P(x) = Σ a₁x²
i=0
Transcribed Image Text:A polynomial is known to have the following roots x₁ = 4.9+ -4.3 i 3 x2 = 2.3 x3 = (4.6) ¹/2 2 Determine the expression of the polynomial with rational coefficients and of minimum degree of the form n P(x) = Σ a₁x² i=0
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