It is nothing more than a polynomial that is equivalent to another, but has fewer terms. For an example, see Wikipedia, under "quartic equation".
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You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
monomial
a polynomial of degree...............is called a cubic polynomial
A polynomial of degree 0 is a polynomial without any variables, such as 9.
seventh degree polynomial x3 times x4 = x7