The degree is the highest power of the variable. For example, x5 + 3x3 - x + 4 is of degree 5, since the highest power of "x" is 5.
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The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
Factors
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
A binomial.
quadratic