Explanation Definition used: Descartes’ Rule of Signs: 1. The number of positive zeros of a polynomial equation f ( x ) = 0 cannot be greater than the number of changes in sign in f ( x ) in moving from one term to the next in f ( x ) . 2. The number of negative zeros cannot be greater than the number of sign changes in f ( − x ) . Calculation: It is given that the equation is 2 x 5 − 3 x 4 + 8 x 3 − 4 x 2 − 4 x + 2 = 0 . Here, f ( x ) = 2 x 5 − 3 x 4 + 8 x 3 − 4 x 2 − 4 x + 2 . Move from left to right, obtain the number of sign changes. As there are 4 sign changes, the number of positive roots is 4. Change the function f ( x ) to f ( − x ) as follows

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 15 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

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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