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Is it possible for a 4th degree function to have exactly 3 real zeros? Explain why.

Sagot :

Final answer:

It is possible for a 4th-degree function to have 3 real zeros amidst other complex zeros.


Explanation:

Yes, it is possible to have exactly 3 Real zeros in a 4th-degree function.

An example of such a function is f(x) = (x - 1)(x - 2)(x - 3)(x + 4), which has three real zeros at x = 1, x = 2, and x = 3.

This illustrates that a 4th-degree function can indeed have exactly 3 Real zeros, alongside the potential for complex zeros.


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