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If all of its terms are of the form ax^b where a is any constant and b is a non-negative integer then it is a polynomial. If not, it is not.
Polynomial vs non polynomial time complexity
A polynomial with two terms is called a binomial.
"Non-polynomial" can mean just about anything... How alike it is with the polynomial depends on what specifically you choose to include.
No. A polynomial is an expression of more than two algebraic terms, and usually contains different powers of the same variable.