A Rational Root Theorem For Complex Roots

Sharon Barrs; James P. Braselton; Lorraine Braselton

A Rational Root Theorem For Complex Roots

Sharon Barrs, James P. Braselton, Lorraine Braselton

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

Abstract

Using this nice extension of the rational root theorem, you can see almost at a glance that the only possible rational complex roots of x ⁴ + 2 x ³ + 8 x ² + 6 x + 15 = 0 are ± 1 ± 2 i and ± 2 ± i .

Original language	American English
Journal	The College Mathematics Journal
Volume	34
State	Published - Nov 1 2003

Disciplines

Education
Mathematics

Keywords

Rational root theorem
Complex roots

Access to Document

https://www.maa.org/publications/periodicals/college-mathematics-journal/college-mathematics-journal-contents-novembe-11

Cite this

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title = "A Rational Root Theorem For Complex Roots",

abstract = " Using this nice extension of the rational root theorem, you can see almost at a glance that the only possible rational complex roots of x 4 + 2 x 3 + 8 x 2 + 6 x + 15 = 0 are ± 1 ± 2 i and ± 2 ± i .",

keywords = "Rational root theorem, Complex roots",

author = "Sharon Barrs and Braselton, {James P.} and Lorraine Braselton",

year = "2003",

month = nov,

day = "1",

language = "American English",

volume = "34",

journal = "The College Mathematics Journal",

}

TY - JOUR

T1 - A Rational Root Theorem For Complex Roots

AU - Barrs, Sharon

AU - Braselton, James P.

AU - Braselton, Lorraine

PY - 2003/11/1

Y1 - 2003/11/1

N2 - Using this nice extension of the rational root theorem, you can see almost at a glance that the only possible rational complex roots of x 4 + 2 x 3 + 8 x 2 + 6 x + 15 = 0 are ± 1 ± 2 i and ± 2 ± i .

AB - Using this nice extension of the rational root theorem, you can see almost at a glance that the only possible rational complex roots of x 4 + 2 x 3 + 8 x 2 + 6 x + 15 = 0 are ± 1 ± 2 i and ± 2 ± i .

KW - Rational root theorem

KW - Complex roots

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/428

UR - https://www.maa.org/publications/periodicals/college-mathematics-journal/college-mathematics-journal-contents-novembe-11

M3 - Article

VL - 34

JO - The College Mathematics Journal

JF - The College Mathematics Journal

ER -

A Rational Root Theorem For Complex Roots

Abstract

Disciplines

Keywords

Access to Document

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Cite this