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Polynomial vs non polynomial time complexity
The only difference is that a binomial has two terms and a polynomial has three or more terms.
fundamental difference between a polynomial function and an exponential function?
A polynomial
You forgot to copy the polynomial. However, the Fundamental Theorem of Algebra states that every polynomial has at least one root, if complex roots are allowed. If a polynomial has only real coefficients, and it it of odd degree, it will also have at least one real solution.