J (X (a) number of possible zeros (b) number of turning points (c) determine all of the real zeros (by x + 9x
J (X (a) number of possible zeros (b) number of turning points (c) determine all of the real zeros (by x + 9x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:## Question 12
For \( f(x) = x^4 + 9x^2 - 10 \):
(a) **Number of possible zeros**
Determine how many zeros the polynomial can have based on its degree.
(b) **Number of turning points**
Calculate the maximum number of turning points the polynomial can exhibit.
(c) **Determine all of the real zeros (by factoring)**
Use factoring techniques to find all real solutions for the equation \( f(x) = 0 \).
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