Final answer:
The question asks for the maximum and minimum values of P(x) for which P(x)=0, but the polynomial function provided seems incorrect. We require the correct polynomial expression to accurately determine these values.
Step-by-step explanation:
The question is asking to identify the maximum and minimum values for which the polynomial function P(x)=0. However, there appears to be an issue in the function provided as it contains an equation rather than a standard polynomial expression. Assuming the polynomial is not correctly written, we need to provide a generic understanding that the maximum and minimum values of a polynomial are determined by finding its roots and analyzing its end behavior and turning points. This involves finding values of x that satisfy the equation P(x) = 0, which are the x-intercepts or the roots of the polynomial.
However, the provided details do not correspond to a standard task of solving a polynomial equation, and therefore we cannot accurately determine the maximum and minimum values for P(x) = 0 without the correct polynomial function.