Classify the following expression by degree and term: x³y + 5xyz
3rd degree trinomial
4th degree binomial
3rd degree binomial
5th degree binomial

Solution:

Given expression is x³y + 5xyz

Degree of a polynomial means the power of the highest order differentiated term in that polynomial.

Here we have two terms and thus it is a binomial.

Here, the highest order is 4 in the term x³y

So, its power is 4

Hence, it is a 4th-degree binomial.

Classify the following expression by degree and term: x³y + 5xyz

Summary:

The following expression by degree and term: x³y + 5xyz is a 4th-degree binomial.