Classify the following polynomials as polynomials in one variable, two variables etc.

(i) x2 + x + 1


(ii) y3 – 5y


(iii) xy + yz + zx


(iv) x2 – 2xy + y2 + 1


(i) x2 + x + 1 is a polynomial in one variable as it contains only one variable i.e. x.


(ii) y3 – 5y is a polynomial in one variable as it contains only one variable i.e. y


(iii) xy + yz + zx is a polynomial in three variable as it contains two variables i.e. x , y and z.


(iv) x2 – 2xy + y2 + 1 is a polynomial in two variables as it contains two variables i.e. x and y


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