SOLUTION: Why is 3x squared a mononoial and 3x to the negative second power not a monomial?

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Question 73226This question is from textbook
: Why is 3x squared a mononoial and 3x to the negative second power not a monomial? This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Because the definition of a polynomial is (a monomial is one term where a polynomial is many terms. In a sense, all monomials are polynomials)
a%5Bn%5Dx%5En%2Ba%5Bn-1%5D_x%5E%28n-1%29%2B...a%5B0%5Dx%5E0 Where each a is a real number and n is a positive integer (a whole number greater than zero) so
3x is equal to
3x%5E1
Where
3x%5E%28-2%29has a negative exponent so it is not a polynomial which means it is not a monomial.