Question

Classify this polynomial 5x^2 +3

Answer 1

Answer:

Degree is 2 so it is a quadratic.

The number of terms is 2 so it is a binomial.

It is a binomial quadratic.

Step-by-step explanation:

Let's find the degree of the polynomial first. I'm going to consider first the degrees of 5x^2 and 3.

The degree of the monomial 5x^2 is 2 because x is the only variable and it's exponent is 2.

The degree of the monomial 3 is 0 because there is no variable.

The degree of 5x^2+3 is therefore 2 because that is the highest degree of the monomials contained with in this polynomial 5x^2+3.

Degree 2 has a special name.

The special name for a degree 2 polynomial is quadratic.

Let's look at the number of terms in 5x^2+3.

Terms are separated by addition and subtraction symbols so there are two terms.

There is a special name for a two-termed polynomial, it is binomial.

So this is the following information I collected on our given polynomial:

Degree is 2 so it is a quadratic.

The number of terms is 2 so it is a binomial.

It is a binomial quadratic.