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1300_F2011_Sec_31-filled - Math 1300 Section 3.1...

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Math 1300 Section 3.1 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 . A polynomial made up of three monomials added to or subtracted from each other is called a trinomial . Examples: 1/2 gt 2 vt + a ; 3 x 2 + 9 x 6 – 6. (Generally we do not name polynomials with four or more terms.) Polynomials cannot have powers that are not whole numbers. Example: 1 2 2 2 4 x x + , 2 3 y y - - - are not polynomials. Like terms are two monomials that are the same, or differ only by their numerical coefficients. Example 1: Determine if each of these pairs of monomials are like terms. A. 8 x 2 and -5 x 2 B. 3 x 2 y and -9 xy 2 C. 2 x 3 and 2 x 4 The degree of a monomial is the sum of the powers of the variables.
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