Question

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

(i) x² − xy + 7y²

(ii) x² − 2tx + 7t² − x + t

(iii) t³ − 3t² + 4t − 5

(iv) xy + yz + zx

Answer 1

(i)

Here, x and y are two variables.

So, it is polynomial in two variables.

(ii)

Here, x and t are two variables.

So, it is polynomial in two variables.

(iii)

Here, only t is variable.

So, it is polynomial in one variable.

(iv)

Here, x, y and z are three variables

So, it is polynomial in three variables.