a) Write an equation for a polynomial function that satisfies the following properties. : x-intercepts are at: x = -4 (single root) , x = 7 (single root) , x = 4 (order is 3) End behaviour is the same as that of the function y = - x3 b) Is your answer in part (a) unique (the only answer)? Briefly explain in words.

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Chapter2: Second-order Linear Odes
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Q6. a) Write an equation for a polynomial function that satisfies the following properties. :
x-intercepts are at: x = -4 (single root)
x = 7 (single root)
x = 4 (order is 3)
End behaviour is the same as that of the function y = - x3
b) Is your answer in part (a) unique (the only answer)? Briefly explain in words.
Transcribed Image Text:Q6. a) Write an equation for a polynomial function that satisfies the following properties. : x-intercepts are at: x = -4 (single root) x = 7 (single root) x = 4 (order is 3) End behaviour is the same as that of the function y = - x3 b) Is your answer in part (a) unique (the only answer)? Briefly explain in words.
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