Consider the polynomial equation Question 3: 2x3 4x + 2 0 (a) Using the Rational Root Theorem, show work to find the possible roots c of this equation (b) Using synthetic division, show work to find one rational root c. Hint: Try positive c's (c) Show work to find any irrational roots of this equation. No decimal number(s), but actual root(s)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.4: Real Zeros Of Polynomials
Problem 1E: If the polynomial function Px=anxn+an-1xn-1++a1x+a0 has integer coefficients, then the only numbers...
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Consider the polynomial equation
Question 3:
2x3
4x + 2
0
(a) Using the Rational Root Theorem, show work to find the possible roots c of this equation
(b) Using synthetic division, show work to find one rational root c. Hint: Try positive c's
(c) Show work to find any irrational roots of this equation. No decimal number(s), but actual root(s)
Transcribed Image Text:Consider the polynomial equation Question 3: 2x3 4x + 2 0 (a) Using the Rational Root Theorem, show work to find the possible roots c of this equation (b) Using synthetic division, show work to find one rational root c. Hint: Try positive c's (c) Show work to find any irrational roots of this equation. No decimal number(s), but actual root(s)
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