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

Degree of a polynomial is the highest degree of the degree of all its terms.
Degree of $x^5{y}^7=5+7=12$
Degree of $-8x^3{y}^8=3+8=11$
Degree of $10x^4{y}^4{z}^4=4+4+4=12$
Hence, degree of the polynomial $x^5{y}^7-8x^3{y}^8+10x^4{y}^4{z}^4$ is $12$.