2) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x° + 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 %3D Count the number of sign change Negative Sign Changes =

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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12:18
2) Find Possible Positive, Negative or Imaginary Zeros.
f(x) = -2x + x? - 8x + 3
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 =
Types of
Imaginary
(Pairs)
Positive
Negative
Roots
Roots
Roots
Since f(x) has 3 total roots.
2
3
4
+
Transcribed Image Text:12:18 2) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x + x? - 8x + 3 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 = Types of Imaginary (Pairs) Positive Negative Roots Roots Roots Since f(x) has 3 total roots. 2 3 4 +
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