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

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

(iii) t³ -3t² +4t -5 is a polynomial in 1 variables t.

(iv) xy +yz +zx is a polynomial in 3 variables x, y, z.