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The actual equation itself is the polynomial. There is no polynomial for it, and your question doesn't really make sense.
Since there is nothing following, none of them!
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
Yes, this is a polynomial (or quadratic) equation. X is the variable. So, for instance, if x=2, then the answer would be 96 + 68 + 12 = 176.