Question

Following algebraic expression is polynomial or not? If so, write the degree.

$\frac{2}{3}x+\frac{3}{2}-y$

Answer 1

Step 1: Finding whether the algebraic expression is polynomial or not

Given algebraic expression $\frac{2}{3}x+\frac{3}{2}-y$

It is an algebraic expression of variable $x,y$

An algebraic expression is said to be a polynomial if the power of the variable is non-negative.

The power of the variable is positive in an algebraic expression $\frac{2}{3}x+\frac{3}{2}-y$

Thus it is a polynomial.

Step 2: Finding the degree of the given algebraic expression

Degree of term $\frac{2}{3}x=1$

Degree of term $\frac{3}{2}=0$

Degree of term $-y=1$

Therefore,

Maximum degree $=1$

Thus, the degree of the polynomial $\frac{2}{3}x+\frac{3}{2}-y$ is $1$

Hence, it is a polynomial of degree one.