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similarities between polynomials and non polynomials

Sagot :

Polynomial is a combination of more than two algebraic expressions combined by addition, subtraction,multiplication or division.It comes from poly- (meaning "many") and -nomial (in this case meaning "term"). Thus, Polynomial is many terms.

Non Polynomial
is the term used if it is not a polynomial. Example binomial, monomial or others.

Polynomials and non polynomials have similarities. 

The both have the following:
1. Constants       
        Polynomial
  
               [tex]3 x^{2} +4y+x + 5[/tex] (5 is constant)       
        Non Polynomial
   
               4y -10 (10 is constant)    - it is also called Binomial

2. Variables     
       Polynomial
                [tex] x^{3} + 2xyz^{2} +yz-6[/tex]  (z,y,z are variables)     
       Non Polynomial
 
                2a (a is variable)     - this is also called Monomial.

3. Exponents
     Polynomial 
                [tex]5 x^{5} +21y-10[/tex]  (5 is the exponent)
                 - note that only positive integers for the exponent of polynomial)
       Non Polynomial 
 
               [tex]25y x^{-3}+3c+7y+10[/tex] (-3 is the exponent)