Answer.
The polynomial is a binomial with degree 5.
Explanation:
Step 1. The expression that we have is:
[tex]xy^4+3x{}^2[/tex]
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.
