Classify the following polynomials as polynomials in one-variable, two

1.	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» (i) x² -xy +7y²is 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.

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»

(i) x² -xy +7y²is 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.