17) Find Possible Positive, Negative or Imaginary Zeros. f(x)= x³ - 2x²-5x + 6 Count the number of sign changes. Positive Sign Changes = Find f(-x) = (-x)³ - 2(-x)² - 5(-x)+6 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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17) Find Possible Positive, Negative or Imaginary Zeros.
f(x)= x³2x²-5x + 6
Count the number of sign changes.
Positive Sign Changes =
Find f(-x) = (-x)³ -2(-x)²-5(-x)+6
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
87
Transcribed Image Text:17) Find Possible Positive, Negative or Imaginary Zeros. f(x)= x³2x²-5x + 6 Count the number of sign changes. Positive Sign Changes = Find f(-x) = (-x)³ -2(-x)²-5(-x)+6 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 87
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