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b(x)%3D6X+-23x³+x²+5x -1

b(x)%3D6X+-23x³+x²+5x -1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For the given polynomial: 1. Find the maximum possible numbers of the positive and the negative roots. 2. Find all the integer roots. 3. Find the non-integer real roots. 4. Find the complex roots. Given polynomial: \( b(x) = 6x^4 - 23x^3 + x^2 + 5x - 1 \) Instructions: - The maximum possible number of positive roots is _____. - The maximum possible number of negative roots is _____. - The integer root(s) is/are (Example: \( x = 3, x = -5 \)): _____. - The non-integer real root(s) is/are (Example: \( x = 3, x = -5 \)): _____. - The complex root(s) is/are (Example: \( x = 3, x = -5 \)): _____. Note that for the integer, non-integer real, and complex roots, spaces are provided to input multiple roots if applicable.
Transcribed Image Text:For the given polynomial: 1. Find the maximum possible numbers of the positive and the negative roots. 2. Find all the integer roots. 3. Find the non-integer real roots. 4. Find the complex roots. Given polynomial: \( b(x) = 6x^4 - 23x^3 + x^2 + 5x - 1 \) Instructions: - The maximum possible number of positive roots is _____. - The maximum possible number of negative roots is _____. - The integer root(s) is/are (Example: \( x = 3, x = -5 \)): _____. - The non-integer real root(s) is/are (Example: \( x = 3, x = -5 \)): _____. - The complex root(s) is/are (Example: \( x = 3, x = -5 \)): _____. Note that for the integer, non-integer real, and complex roots, spaces are provided to input multiple roots if applicable.
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