1300_section3o1 - Section 3.1 - Polynomials A polynomial is...

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1 Section 3.1 - Polynomials A polynomial is an expression made up of terms called monomials. A monomial is an expression made up of one real-number coefficient and (at least) one variable to some whole-number power. Examples are -3; 7 x ; 9 x 2 y 3 z 5 . A polynomial made up of two monomials added to or subtracted from each other is called a binomial . Examples: 3 xy + 6 z 2 ; 2 x – 8 x 3 ; 4 abc 2 ab 3 . A polynomial made up of three monomials added to or subtracted from each other is called a trinomial . Examples: 4 abc 2 ab 2 + 5 c ; 3 x 2 + 9 x 6 – 6. (Generally we do not name polynomials with four or more terms.) Usually, polynomials that use only one variable are written with the highest exponent first and then in descending order of exponents: f ( x ) = a n x n + a n -1 x n -1 + . .. + a 1 x + a 0 The degree of a monomial is the sum of the powers of the variables. Do not use the coefficient when determining the degree. Examples:
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This note was uploaded on 02/20/2012 for the course MATH 1300 taught by Professor Staff during the Spring '08 term at University of Houston.

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1300_section3o1 - Section 3.1 - Polynomials A polynomial is...

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