Given the polynomial function P(x)=3x°-2x-7x-2. (a) List all possible rational zeros of P. (b) Factor P completely and find all its zeros. (Use Synthetic division) (c) Sketch the graph of P in interval (-2, 3). (Show cleary end-behavior and all intercepts) (d) Find the y-intercept of the graph. Type your answer for part (d) in the box below, the NUMBER only.

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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Given the polynomial function P(x)=D3x³ -2x² - 7x-2.
%3D
(a) List all possible rational zeros of P.
(b) Factor P completely and find all its zeros. (Use Synthetic division)
(c) Sketch the graph of P in interval (-2, 3). (Show cleary end-behavior and all intercepts)
(d) Find the y-intercept of the graph. Type your answer for part (d) in the box below, the NUMBER only.
Transcribed Image Text:Given the polynomial function P(x)=D3x³ -2x² - 7x-2. %3D (a) List all possible rational zeros of P. (b) Factor P completely and find all its zeros. (Use Synthetic division) (c) Sketch the graph of P in interval (-2, 3). (Show cleary end-behavior and all intercepts) (d) Find the y-intercept of the graph. Type your answer for part (d) in the box below, the NUMBER only.
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