A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3 distinct real roots and 1 complex root (III) 2 repeated real roots and 2 complex roots (IV) 3 complex roots and 1 real root O I only O I and Il only O 1,II, and IV only O all of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 36E
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A fourth degree polynomial with constant coefficients may have
(1) 4 distinct real roots.
(II) 3 distinct real roots and 1 complex root
(III) 2 repeated real roots and 2 complex roots
(IV) 3 complex roots and 1 real root
O I only
O I and II only
O 1,II, and IV only
O all of these
Transcribed Image Text:A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (II) 3 distinct real roots and 1 complex root (III) 2 repeated real roots and 2 complex roots (IV) 3 complex roots and 1 real root O I only O I and II only O 1,II, and IV only O all of these
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