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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` |
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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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