a) Write an equation for a polynomial function that satisfies the following properties x-intercepts are at: ? = −4 (single root) , ? = 7 (single root) , ? = 4 (order is 3) End behaviour is the same as that of the function ? = − ?3 b) Is your answer in part (a) unique (the only answer)? Briefly explain in word

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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a) Write an equation for a polynomial function that satisfies the following properties

x-intercepts are at: ? = −4 (single root) , ? = 7 (single root) , ? = 4 (order is 3)

End behaviour is the same as that of the function ? = − ?3

b) Is your answer in part (a) unique (the only answer)? Briefly explain in words

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