Yes any constant or variable is a polynomial. To be most precise, 1 is a monomial meaning it has one term.
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Any multiple of X^2+X/2-1/2
Yes, 18y3 + 2y2 + 1 is a polynomial; it is a cubic expression. If it were expanded to form an equation, then it would be a cubic equation (or higher), capable of solution.
B
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
Easy. Same thing as the graph of f(x) = x^2 + 1 which have NO intercept.