Question

Write the degree of the given polynomial:
$m^3{n}^7-3m^{5}n+mn$.

Answer 1

The degree of a polynomial is the highest power of the variable in a polynomial in one variable and is the highest sum of the powers of the variables in each term of the polynomial in more than one variable.

Here, the sum of the powers of the variable in the polynomial $m^3{n}^7-3m^{5}n+mn$ are $3+7=10,5+1=6$ and $1+1=2$.

$\therefore$The degree of the polynomial $m^3{n}^7-3m^{5}n+mn$ is $10$.