Question

1. How many terms are in the polynomial?

2. What is the degree of the polynomial?
3. How would you classify the polynomial?

Answer 1

The answer is:

⇨ a third-degree binomial.

Work/explanation:

Here's how we classify polynomials based on the number of terms:

monomial - has only one term

binomial - has two terms

trinomial - has three terms

polynomial - has four terms or more

As for degrees, those are the highest exponents the polynomial.

Now,
`\sf{14x^3+x^2}` has 2 terms so it's a binomial; the highest exponent is 3.

Hence, this is a third-degree binomial.

Answer 2

Explanation:

A term, loosely defined, is a product of numbers and variables. Terms are separated from one another with a + or a - sign. So we have 2 terms here.

The degree of the polynomial, because it is just in terms of x and no other variable, is the highest degree'd term. Our highest degree of x is 3, so this is a third degree polynomial.

It is classified by its number of terms:

1 term is a monomial, 2 terms is a binomial, 3 is a trinomial, and anything higher is just called a "polynomial". This has 2 terms so it is a binomial.