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

1.	Classify the following polynomials as polynomials in one-variable, two variable etc:(i) x2 - xy + 7y2 (ii) x2 - 2tx + 7y2 - x + t (iii) t3 - 3t2 + 4t - 5 (iv) xy + yz + zx
Answer» (i) x² - xy + 7y² is a polynomial in two variable x, y. (ii) x² - 2tx + 7y² - x + t is a polynomial in two variable x, t. (iii) t³ - 3t² + 4t - 5 is a polynomial in one variable t. (iv) xy + yz + zx is a polynomial in three variable x, y, t.

Classify the following polynomials as polynomials in one-variable, two variable etc:(i) x2 - xy + 7y2 (ii) x2 - 2tx + 7y2 - x + t (iii) t3 - 3t2 + 4t - 5 (iv) xy + yz + zx

Answer»

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

(ii) x² - 2tx + 7y² - x + t is a polynomial in two variable x, t.

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

(iv) xy + yz + zx is a polynomial in three variable x, y, t.