Question

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

(i) $x^2$ - xy + $7y^2$

(ii) $x^2$ - 2tx + $7t^2$ - x + t

(iii) $t^2$ - $3t^2$ + 4t - 5

(iv) $xy+yz+zx$

Answer 1

(i) $x^2$ - xy + $7y^2$ : It is a polynomial in two variables x,y.

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

(iii) $t^3$ - 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.