A polynomial is known to have the following rootsx₁ = 4.9+ -4.3 i3x2 = 2.3x3 = (4.6) ¹/22Determine the expression of the polynomial with rational coefficients and of minimum degree of the formnP(x) = Σ a₁x²i=0

If the root is complex number of a real coefficients polynomial then it has complex conjugate root.…

Answered: A polynomial is known to have the…

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 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