A. Perform as instructed 1. Find the roots of (2x + 1)(x + 1)(x - 1) = 0 2. Find the zeros of the polynomial equation x 4 + 2x 3- 13x 2 - 14x + 24 =0 3. Find the polynomial equation whose zeros are 2 of multiplicity 2, 1 and -2 4 Find the equo if +1

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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A. Perform as instructed
1. Find the roots of
(2x + 1)(x + 1)(x - 1) = 0
2. Find the zeros of the polynomial equation x 4 + 2x 3- 13x 2- 14x + 24 =0
3. Find the polynomial equation whose zeros are 2 of multiplicity 2, 1 and -2
4. Find the equation if the zeros are 2, -1, 2, -3.
B. Answer the following questions.
1. What do you observe about the relationship between the number of roots
and the degree of a polynomial?
2. What generalization can you make when polynomial equation is expressed
as a product of linear factors?
3. How does the "Rational Root Theorem" and "Factor Theorem" helps you in
solving polynomial equation?
Transcribed Image Text:A. Perform as instructed 1. Find the roots of (2x + 1)(x + 1)(x - 1) = 0 2. Find the zeros of the polynomial equation x 4 + 2x 3- 13x 2- 14x + 24 =0 3. Find the polynomial equation whose zeros are 2 of multiplicity 2, 1 and -2 4. Find the equation if the zeros are 2, -1, 2, -3. B. Answer the following questions. 1. What do you observe about the relationship between the number of roots and the degree of a polynomial? 2. What generalization can you make when polynomial equation is expressed as a product of linear factors? 3. How does the "Rational Root Theorem" and "Factor Theorem" helps you in solving polynomial equation?
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