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36 votes
36 votes
Give the name (monomial, binomial,

trinomial, etc.) and the degree of the
polynomial.
2x - 4
Name? [?]
Degree? [ ]

Give the name (monomial, binomial, trinomial, etc.) and the degree of the polynomial-example-1
User Naren Neelamegam
by
2.6k points

1 Answer

14 votes
14 votes

Answer:

Binomial

First Degree

Explanation:

Naming and giving the degree of a polynomial can help people understand the different properties of an expression.

Naming Polynomials

Polynomials are named based on the number of terms in the expression.

  • Terms are the different coefficients and variables that are added or subtracted together.

For example, the expression above has 2 terms. The first being 2x and the second being 4. There are 2 separate terms being subtracted.

There are 3 main types of polynomials

  • Monomials have 1 term
  • Binomials have 2 terms
  • Trinomials have 3 terms
  • Most polynomials above that are just called polynomials.

This specific expression is a binomial.

Degree

The degree of a polynomial is the highest exponent in the expression. For example, if the largest exponent is a 6, then the degree is also 6.

In the binomial above, there is no written exponent; however, it can be assumed that the variable "x" has an exponent of 1. Thus, this binomial is of the first degree.

Additionally, when writing a polynomial in standard form, the terms should be written in descending order of exponents.

User JohnWowUs
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2.3k points