Question

The polynomial 3x2 is a with a degree of .

Answer 1

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 $7x^{55}$ is 55, while the degree of $xy^2z^4$ is $1+2+4 = 7$

Finally, the term of the degree of the polynomial is the highest degree among its terms.

So, $3x^2$ is a degree 2 polynomial (although it only has one term)

similarly, $x^2y + 3xy^2 + 1$ is a degree 3 polynomial: the first two terms have degree 3, because they have exponents 2 and 1.

Answer 2

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.