138k views
3 votes
2. 2a3b + 9a2bc2The degree of the polynomial is 4The degree of the polynomial is 5The degree of the polynomial is 6The polynomial is a monomialThe polynomial is a binomialThe polynomial is a trinomialロロロ

2. 2a3b + 9a2bc2The degree of the polynomial is 4The degree of the polynomial is 5The-example-1
User Afruzan
by
8.4k points

1 Answer

4 votes

The polynomial has two terms:


\begin{gathered} 2a^3b \\ \text{and} \\ 9a^2bc^2 \end{gathered}

then, it is a binomial.

To find the degree of the first term, we need to add the exponents of each variable. The exponent of variable a is 3 and of variable b is 1, then the degree of the first term is: 3 + 1 = 4.

Considering the second term, the exponent of variable a is 2, the exponent of variable b is 1, and the exponent of variable c is 2, then the degree of the second term is: 2 + 1 + 2 = 5.

The degree of the polynomial is equal to the greatest degree of each term. Therefore, the degree of this polynomial is 5.

User Todmy
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories