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26.10.2020 •
Mathematics
5. Determine the maximum number of real zeros.f
(x)=(x-1/3)^2(x-1)^3
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Ответ:
The maximum number of real zeros of the function is 5.
Step-by-step explanation:
Zeros of a polynomial
Any polynomial of positive order can have a maximum number of zeros equal to its order. For example, a quadratic function can have as many as two zeros.
The given polynomial is:
The order of this polynomial is 5 since it's factored as a quadratic polynomial by a cubic polynomial. The order is 2+3=5.
Thus, the maximum number of real zeros of the function is 5.
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