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Analytical Study on Method of Solving Polynomial Inequalities


Author(s):

Mamo Shigute , College of Natural and Computational Sciences Assosa University, Assosa, Ethiopia

Keywords:

Polynomial, Polynomial Inequality, Solution Set, Real Roots, Multiplicity and End Behavior of the Graph of a Polynomial

Abstract:

A new method to solve the solution set of polynomial inequalities along the real line is conducted. A polynomial function Pn(x) in factored form (of real roots only) with odd multiplicity is emphasized. Let r1 < r2 < . . .< rk ∈ R, m1+m2+…+mk = n and n ≥ 3,and let Pn(x) = (x-r1)m1(x-r2)m2 . . . (x-rk)mk > 0 if n is even, then the solution set is { x∈ R: x ∈ (−∞, r1) ∪ (ri, ri+1) ∪ (rk, ∞),


Other Details:

Manuscript Id :IJSTEV3I11110
Published in :Volume : 3, Issue : 11
Publication Date: 01/06/2017
Page(s): 232-237
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