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Unformatted text preview: Math 1300 Section 3.1 Notes 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: f ( x ) = 3 xy + 6 z 2 ; g ( x ) = 2 x 8 x 3 . A polynomial made up of three monomials added to or subtracted from each other is called a trinomial . Examples: h ( t ) = 1/2 gt 2 vt + a ; y ( x ) = 3 x 2 + 9 x 6 6. (Generally we do not name polynomials with four or more terms.) Like terms are two monomials that are the same, or differ only by their numerical coefficients. Examples: 8 x 2 and -5 x 2 3 x 2 y and -9 xy 2 2 x 3 and 2 x 4 Alike? _________ ___________ _________ Usually, polynomials that use only one variable are written with the highest exponent first and then in descending order of exponents: f ( x...
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