Question

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

Answer 1

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.