There is no minimum (nor maximum) value.
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A minimum value (of any function, not just a polynomial) is a value that has a lower value than any nearby value. A global minimum is a value that is lower than ANY other value. (This answer is just a brief and informal overview; check the Wikipedia article on "maxima and minima" for a more detailed explanation.)
The value of a polynomial is determined by that of the variable.
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
Find values of the variable for which the value of the polynomial is zero.
An "extreme value" is either a local maximum, or a local minimum - i.e., a point which is greater than all the points in a certain neighborhood, or less than all points in a certain neighborhood.