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Answer :
The function f(x)=-6x⁸+7x⁶-7 can have a maximum of 6 positive real zeros.
This conclusion is based on the fact that a polynomial function can have a maximum number of real zeros equal to its degree. In this case, the degree of the polynomial is 8, so it can have at most 8 real zeros. However, since the function is given as -6x⁸+7x⁶-7, the constant term is negative, which means that there cannot be any positive real zeros. This is because in order for a polynomial to have a positive real zero, the constant term must be positive. Therefore, the function can have a maximum of 6 positive real zeros, as the remaining two zeros will be either non-real complex zeros or negative real zeros.
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