1.

Classify the following polynomials as polynomials in one variable , two variables etc. (1)`x^(2)+x+1` (ii) `y^(3)-5y` (iii) `xy+yz+zx` (iv)`x^(2)-2xy+y^(2)+1`

Answer» (i) polynomial `x^(2)+x+1` is a one various polynomial , because it contains only one variable i.e., x.
(ii) Polynomial `y^(3)-5y` is a one variable polynomial because it contains only one variable i.e., y.
(iii) Polynomial `xy+yz+zx` is a three variable polynomial , because it contains three variables x, y and z.
(iv) polynomial `x^(2)-2xy +y^(2)+1 ` is a two variables polynomial , because it contains two variables x and y.


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