Question

Need help with this problem drop down 2: 2, 4, 5

Answer 1

Answer.

The polynomial is a binomial with degree 5.

Step-by-step explanation:

Step 1. The expression that we have is:

`xy^4+3x{}^2`

Required: find the type of polynomial and its degree.

Step 2. The definition for each type of polynomial shown is:

• Monomial: Expression with only one term.

,

• Binomial: Expression with two terms.

,

• Trinomial: Expression with three terms.

In this case, we have two terms:

Therefore, it is a binomial.

Step 3. To find the degree of a polynomial, we need to add the exponents of the variables in each term, and the greatest sum will be the degree of the polynomial.

For our expression, the degree is:

The greatest sum is that of 1 and 4 --> 5, which is greater than 2. The degree of the polynomial is 5.

Answer.

The polynomial is a binomial with degree 5.