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Question

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

(i) x2 - xy + 7y2

(ii) x2 - 2tx + 7t2 - x + t

(iii) t2 - 3t2 + 4t - 5

(iv) xy+yz+zx

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Solution

(i) x2 - xy + 7y2 : It is a polynomial in two variables x,y.

(ii) x2 - 2tx + 7t2 - x + t : It is a polynomial in two variables in x,t.

(iii) t3 - 3tx + 4t - 5 : It is a polynomial in one variable in t.

(iv) xy+yz+zx : It is a polynomial in 3 variable in x, y and z.


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