Two questions:

1) Why are numbers with variables in the radical and the denominator not considered polynomials?

2) What is the purpose behind knowing the degrees to a polynomial. What function does this serve ?

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- May 29th 2012, 06:26 AMJman115Polynomials
Two questions:

1) Why are numbers with variables in the radical and the denominator not considered polynomials?

2) What is the purpose behind knowing the degrees to a polynomial. What function does this serve ? - May 30th 2012, 08:36 AMbob000Re: Polynomials
1) Same reason that numbers divisible by two are not considered odd. It's a definition.

2)There are contraints on the degree when polynomials are multiplied or composed. These constraints can be used to order polynomials as larger or smaller. This in turn allows a definition of division for polynomials even when the coefficients are not elements of Z, Q or R.