6) Find Possible Positive, Negative or Imaginary Zeros. f(x) = x* + 4x³ + 3x² - 4x - 4 %3D Count the number of sign changes. Positive Sign Changes = Find f(-x)= (-x)^+ 4(-x)³ + 3(-x)² - 4(-x) - 4 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6) Find Possible Positive, Negative or Imaginary Zeros.
f(x) = x* + 4x³ + 3x² - 4x - 4
%3D
Count the number of sign changes.
Positive Sign Changes =
Find f(-x)= (-x)^+ 4(-x)³ + 3(-x)² - 4(-x) - 4
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.
otes
&
5
6
7
Transcribed Image Text:6) Find Possible Positive, Negative or Imaginary Zeros. f(x) = x* + 4x³ + 3x² - 4x - 4 %3D Count the number of sign changes. Positive Sign Changes = Find f(-x)= (-x)^+ 4(-x)³ + 3(-x)² - 4(-x) - 4 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. otes & 5 6 7
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