Question

Question 1
Classify the following polynomials as polynomials in one variable, two variables etc.

(i) $x^2+x+1$

(ii) $y^3-5y$

(iii) $xy+yz+zx$

(iv) $x^2–xy+y^2+1$

Answer 1

(i) Polynomial $x^2+x+1$ is one variable polynomial because it contains only one variable i.e x.

(ii) Polynomial $y^3–5y$ is 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 $x^2–2xy+y^2+1$ is a two variables polynomial because it contains two variables x and y.