Question:
Classify the following polynomials as polynomials in one variable, two variables etc.
(i) x2 + x +1
(ii) y3 – 5y
(iii) xy+ yz +zx
(iv) x2 – Zxy + y2 +1
Solution:
(i) Polynomial x2+ x+ 1 is a one variable polynomial, because it contains only one variable i.e., x.
(ii) Polynomial y3 – 5y is a one variable polynomial, because it contains only one variable i.e., y.
(iii) Polynomial xy+ yz+ zx is a three variables polynomial, because it contains three variables x, y and z.
(iv) Polynomial x2 – Zxy + y2 +1 is a two variables pplynomial, because it contains two variables x and y.