Question

Write the degree of the polynomial: $x^{3}y+x{y}^2-3xy+4.$

Answer 1

The degree of a polynomial is equal to the highest degree of any individual term within the polynomial.

$x^{3}y$has a degree of $3+1=4$

$x{y}^2$ has a degree of $1+2=3$

$-3xy$ has a degree of $1+1=2$

$4$ has a degree of $0$, because it has no variable component.

Hence, degree of the polynomial $x^{3}y+x{y}^2-3xy+4$ is $4$.