E) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x³ + x² - 8x + 3 %3D Count the number of sign changes. Positive Sign Changes = Find f(-x) = -2(-x)³ + (-x)² – 8(-x) + 3 simplify Count the number of sign changes. Negative Sign Changes = %3D Types of Roots Positive Negative Imaginary (Pairs) Roots Roots Since f(x) has 3 total roots.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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6. 7| 8. 9.
E) Find Possible Positive, Negative or Imaginary Zeros.
f(x) = -2x³ + x² - 8x + 3
%3D
Count the number of sign changes.
Positive Sign Changes =
Find f(-x) = -2(-x)³ + (-x)² – 8(-x) + 3
%3D
simplify
Count the number of sign changes.
Negative Sign Changes =
Types of
Positive
Negative
Imaginary
(Pairs)
Roots
Roots
Roots
Since f(x) has 3 total roots
&
Transcribed Image Text:6. 7| 8. 9. E) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x³ + x² - 8x + 3 %3D Count the number of sign changes. Positive Sign Changes = Find f(-x) = -2(-x)³ + (-x)² – 8(-x) + 3 %3D simplify Count the number of sign changes. Negative Sign Changes = Types of Positive Negative Imaginary (Pairs) Roots Roots Roots Since f(x) has 3 total roots &
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