Question

Write the degree of the following polynomial:
(ii) $p^3{q}^2-6p^2{q}^5+p^4{q}^4$

Answer 1

$p^3{q}^2-6p^2{q}^5+p^4{q}^4$
The given polynomial consists of three monomials $p^3{q}^2,-6p^2{q}^5\text{and}{p}^4{q}^4.$
$p^3{q}^2$ : Degree =3+2=5.
$-6p^2{q}^5$ : Degree =2+5=7.
$p^4{q}^4$ : Degree =4+4=8.
The highest degree among the monomials is 8.
Hence, the degree of the given polynomial is 8.