1. Consider the equation 2x³-x²-13x-6=0. a. Use Descartes rule of signs to determine the number of possible positive and the number of possible negative roots. b. Use Descartes Rational Root Theorem to see what the possible rational roots are. c. Verify that x = 3 is a root. d. Use long division to reduce the equation to a quadratic equation. e. Solve the resulting quadratic equation to find the remaining root.
1. Consider the equation 2x³-x²-13x-6=0. a. Use Descartes rule of signs to determine the number of possible positive and the number of possible negative roots. b. Use Descartes Rational Root Theorem to see what the possible rational roots are. c. Verify that x = 3 is a root. d. Use long division to reduce the equation to a quadratic equation. e. Solve the resulting quadratic equation to find the remaining root.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 31E: Derive the quadratic formula by using the change in variable x=y12(ba) to transform the quadratic...
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