Explanation Theorem used: The Factor Theorem: “If f ( r ) = 0 , then x = r is a zero of f ( x ) , x − r is a factor of f ( x ) and x = r is a root of the equation f ( x ) = 0 ”. Calculation: In order to find the value of k , substitute x = 2 in f ( x ) = 0 . 2 x 3 + k x 2 − x − 14 = 0 2 ( 2 ) 3 + k ( 2 ) 2 − 2 + 14 = 0 2 ( 8

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 15.1, Problem 49E

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To find: The value of k for which, x−2 is a factor of f(x)=2x3+kx2−x+14.

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Chapter 15.1, Problem 48E

Chapter 15.1, Problem 50E

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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 value of k for which, x − 2 is a factor of f ( x ) = 2 x 3 + k x 2 − x + 14 .

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To find: The value of k for which, x−2 is a factor of f(x)=2x3+kx2−x+14.

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Chapter 15 Solutions