Question

The degree of the polynomial $f(x,y)=3x^{2}y-2\sqrt{x}{y}^3+4xy-8x$ is

• A. $1$
• B. $2$
• C. $3$
• D. $\frac{7}{2}$

Answer 1

The correct option is D $\frac{7}{2}$

As we know that the degree of the polynomial is the highest power of the term.
Given, $f(x,y)=3x^{2}y-2\sqrt{x}{y}^3+4xy-8x$
So, the power of the term $3x^{2}y$ is $2+1=3$, $2\sqrt{x}{y}^3$ is $\frac{1}{2}+3=\frac{7}{2}$, $4xy$ is $1+1=2$ and $8x$ is $1$.
Hence, the degree of the polynomial is $\frac{7}{2}$.