A polynomial function P and its graph are given. P(x) = 3x - x² - 3x + 1 y -4 -2 4 (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) 1 1 x =+1, – 1, + (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) Need Help? Read It Watch It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 18E
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Complete part (b) ONLY. Circle your answer for thumbs up!

A polynomial function P and its graph are given.
P(x) = 3x3 – x? - 3x + 1
y
4
X
-4
-2
4
-2
-4
(a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.)
1
1
+1,
1, +
3
X =
3
(b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
X =
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Transcribed Image Text:A polynomial function P and its graph are given. P(x) = 3x3 – x? - 3x + 1 y 4 X -4 -2 4 -2 -4 (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) 1 1 +1, 1, + 3 X = 3 (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) X = Need Help? Read It Watch It
Expert Solution
Step 1

Given that: Graph of f(x)=3x3-x2-3x+1

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