mac1147_lecture2_1_c

# mac1147_lecture2_1_c - L2 Polynomials in One Variable;...

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11 L2 Polynomials in One Variable; Factoring An expression of the form k k ax where k is a whole number and k a is a constant, is called a monomial . A sum of monomials forms a polynomial where each monomial is called a term . Polynomial in Standard Form : 1 11 0 ... nn a x ax a + ++ + , where 0 , ,..., , aa a a are coefficients , and 0 n is an integer. If 0 n a , then n degree , n a leading coefficient , n n leading term .

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12 Polynomial? Yes/No Coefficients Degree 2 3 x 4 1 32 5 xx −+ 2 1 1 x x + + 2 x 5 0 Adding and Subtracting Polynomials Polynomials are added and subtracted by combining like terms . The like terms are the monomials which may differ only by the coefficients. Example. Perform the indicated operation. 43 4 2 (3 2 ) ( 1) x xxx +− + + =
13 Multiplying Polynomials Two polynomials are multiplied by using Properties of Real Numbers and Laws of Exponents. Example : 52 (4 ) (3 ) xx ⋅= Example : Find the product.

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## This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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mac1147_lecture2_1_c - L2 Polynomials in One Variable;...

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