Question

Write the degree of each polynomial given below:

$x^5{y}^7-8x^3{y}^8+10x^4{y}^4{z}^4$

Answer 1

Step 1: Find the degree of the given polynomial

Given polynomial is $x^5{y}^7-8x^3{y}^8+10x^4{y}^4{z}^4$

The sum of power of the variables in the term $x^5{y}^7=7+5=12$

The sum of power of the variables in the term $-8x^3{y}^8=3+8=11$

The sum of power of the variables in the term $10x^4{y}^4{z}^4=4+4+4=12$

Hence, the degree of the polynomial $x^5{y}^7-8x^3{y}^8+10x^4{y}^4{z}^4$ is $12$