For the polynomial function p(x) = x² + 2x³ − 9x² − 8x + 20: (a) Identify the domain, range, and end behavior of the function. (b) Apply the Rational Root Theorem. (c) Apply Descartes' Rue of Signs. (d) Use the remainder and factor theorems to factor the polynomial completely. (e) Find all zeros, including complex zeros.

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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For the polynomial function p(x) = x² + 2x³9x² - 8x + 20:
(a) Identify the domain, range, and end behavior of the function.
(b) Apply the Rational Root Theorem.
(c) Apply Descartes' Rue of Signs.
(d) Use the remainder and factor theorems to factor the polynomial completely.
(e) Find all zeros, including complex zeros.
Transcribed Image Text:For the polynomial function p(x) = x² + 2x³9x² - 8x + 20: (a) Identify the domain, range, and end behavior of the function. (b) Apply the Rational Root Theorem. (c) Apply Descartes' Rue of Signs. (d) Use the remainder and factor theorems to factor the polynomial completely. (e) Find all zeros, including complex zeros.
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