A polynomial function P and its graph are given. P(x) = 2x4 - 6x³ + 2x² + 6x-4 -2 y 2 6 X (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) x= -1,1,0.5, -0.5, -2,2,- 4,4 W ✓ (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 = 1,-1,2

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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A polynomial function P and its graph are given.
P(x) = 2x4 - 6x³ + 2x² + 6x-4
-2
y
2
6
X
W
(a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.)
x= -1,1,0.5, -0.5, -2,2,- 4,4
(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 = 1,-1,2
Transcribed Image Text:A polynomial function P and its graph are given. P(x) = 2x4 - 6x³ + 2x² + 6x-4 -2 y 2 6 X W (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) x= -1,1,0.5, -0.5, -2,2,- 4,4 (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 = 1,-1,2
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