Respuesta :
To determine the degree of a polynomial, you look at every term:
- if the term involves only one variable, the degree of that term is the exponent of the variable
- if the term involves more than one variable, the degree of that term is the sum of the exponents of the variables.
So, for example, the degree of [tex]7x^{55}[/tex] is 55, while the degree of [tex] xy^2z^4 [/tex] is [tex] 1+2+4 = 7 [/tex]
Finally, the term of the degree of the polynomial is the highest degree among its terms.
So, [tex] 3x^2 [/tex] is a degree 2 polynomial (although it only has one term)
similarly, [tex] x^2y + 3xy^2 + 1 [/tex] is a degree 3 polynomial: the first two terms have degree 3, because they have exponents 2 and 1.
Answer:
The polynomial 3x2 is a monomial with a degree of 2 .
The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3.
