3) Find Possible Positive, Negative or Imaginary Zeros. f(x) = 2x³ - x² - 25 %3D Count the number of sign changes. Positive Sign Changes = Find f(-x) = 2(-x)³ - (-x)² – 25 simplify %3D Count the number of sign changes. Negative Sign Changes = Negative Imaginary (Pairs) Types of Positive Roots Roots Roots Since f(x) has 3 total roots.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3) Find Possible Positive, Negative or Imaginary Zeros.
f(x) = 2x³ - x² - 25
%3D
Count the number of sign changes.
Positive Sign Changes =
Find f(-x) = 2(-x)³ - (-x)² – 25
simplify
%3D
Count the number of sign changes.
Negative Sign Changes =
Negative Imaginary
(Pairs)
Types of
Positive
Roots
Roots
Roots
Since f(x) has 3 total roots .
5
7
Transcribed Image Text:3) Find Possible Positive, Negative or Imaginary Zeros. f(x) = 2x³ - x² - 25 %3D Count the number of sign changes. Positive Sign Changes = Find f(-x) = 2(-x)³ - (-x)² – 25 simplify %3D Count the number of sign changes. Negative Sign Changes = Negative Imaginary (Pairs) Types of Positive Roots Roots Roots Since f(x) has 3 total roots . 5 7
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