Question

Write the degree of the following expressions:

$2x^5{y}^4+x^5{y}^7-x^{4}y$

Answer 1

Finding the degree of the algebraic expression

We know that

The highest sum of the exponents of the variables in different terms represents the degree of the algebraic expression

In$2x^5{y}^4+x^5{y}^7-x^{4}y$,

$$\begin{gathered} \text{Degree of terms} \\ 2x^5{y}^4=5+4=9 \\ {x}^5{y}^7=5+7=12 \\ -x^{4}y=4+1=5 \end{gathered}$$

The greatest exponent of the term $x^5{y}^7$ is $12$.

So, the degree of the polynomial is $12$.