Answer:
1.) 7th degree trinomial
2.) 5th degree binomial
Step-by-step explanation:
The degree of a term of a polynomial is the sum of the exponents of all the variables of that term. The degree of a polynomial is the same as the term with highest degree. Remember that a plain variable has degree 1. FOr example, 5x is a term of first degree because x is the same as x^1, so its degree is 1.
1.) m^5n^2 +mn^2 + n^6
Look at each term:
m^5n^2: degree = 5 + 2 = 7
mn^2: degree = 1 + 2 = 3
n^6: degree = 6
The highest degree of any term is 7, so the degree of the polynomial is 7.
The polynomial has 3 terms, so it's a trinomial.
Answer: 7th degree trinomial
2.) 12a^3b + 9a^2bc^2
Look at each term:
12a^3b: degree = 3 + 1 = 4
9a^2bc^2: degree = 2 + 1 + 2 = 5
The highest degree of any term is 5,so this is a 5th degree polynomial.
The polynomial has two terms, so it's a binomial.
Answer: 5th degree binomial
