# Types of Polynomials

Binomials (Yes, "5" is a polynomial, ... Monomial, Binomial, Trinomial. There are special names for polynomials with 1, 2 or 3 terms: How do you remember the names?

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Degree of a Polynomial The degree of a polynomial is the highest degree of its monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it. The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial).

Exponents and Variables Since the base is the same, we add the exponents to get 3 5x. Two players with the same base...that would never fly in baseball. Fortunately, in algebra, they can pile onto the same base as much as they like.

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Monomials A polynomial as oppose to the monomial is a sum of monomials where each monomial is called a term. The degree of the polynomial is the greatest degree of its terms. A polynomial is usually written with the term with the highest exponent of the variable first and then decreasing from left to right.

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Trinomials You can also divide polynomials (but the result may not be a polynomial). Degree The degree of a polynomial with only one variable is the largest exponent of that variable.

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