FHSPolynomials1 Vocabulary A monomial is a number, a variable, or a product of numbers and variables with whole number exponents. If the monomial includes.

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Presentation transcript:

FHSPolynomials1 Vocabulary A monomial is a number, a variable, or a product of numbers and variables with whole number exponents. If the monomial includes variables, the number part is called the coefficient of the term and is written first. A number by itself is called a constant. The degree of the monomial is the sum of the exponents in the monomial.

FHSPolynomials2 Examples Find the coefficient and the degree of each of the following: coefficient: degree: degree:coefficient: constant 0

FHSPolynomials3 A polynomial is a monomial or a sum or difference of monomials and constants. Each of the monomials or constants is called a term. The degree of a polynomial is the degree of the term with the greatest degree. The standard form of a polynomial is written with the terms in order from the greatest degree to the least degree. The coefficient of the first term is called the leading coefficient. Vocabulary

FHSPolynomials4 Example Write in standard form. Find the degree of each term Write the terms in order of degree. The leading coefficient is. {{{{{{{{ 2

FHSPolynomials5 Vocabulary Polynomials have special names based on their degree. Degree0123 Nameconstantlinearquadraticcubic Degree456 or more Namequarticquintic6 th degree, 7 th...

FHSPolynomials6 Vocabulary Polynomials also have special names based on the number of terms they have. Terms1234 or more Namemonomialbinomialtrinomialpolynomial What is the name of the following polynomial based on the degree and the number of terms? a quartic trinomial