Explanation Calculation: It is given that 2 is a double root of the equation x 4 − 2 x 3 − 7 x 2 + 20 x − 12 = 0 . Begin with 2 , perform synthetic division as follows. 1 − 2 − 7 20 − 12 2 0 − 14 12 1 0 − 7 6 0 2 2 2 4 − 6 _ 1 2 − 3 0 That is, the remainder is equal to 0. Thus, the roots is 2 with multiplicity 2 and the remaining factor is x 2 + 2 x − 3

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 15, Problem 2PT

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The remaining roots of the equation x4−2x3−7x2+20x−12=0.

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Chapter 15 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 15.1 - Use the factor theorem to determine whether t − 2...Ch. 15.1 - Prob. 2PE Ch. 15.1 - Prob. 3PE Ch. 15.1 - Prob. 4PE Ch. 15.1 - Prob. 1E Ch. 15.1 - Prob. 2E Ch. 15.1 - In Exercises 1–4, make the given changes in the...Ch. 15.1 - Prob. 4E Ch. 15.1 - Prob. 5E Ch. 15.1 - Prob. 6E

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The remaining roots of the equation x 4 − 2 x 3 − 7 x 2 + 20 x − 12 = 0 .

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Chapter 15 Solutions