Section 3_2 - Math 1650 Lecture Notes § 3.2 Jason Snyder,...

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Unformatted text preview: Math 1650 Lecture Notes § 3.2 Jason Snyder, PhD Dividing Polynomials Page 1 of 6 § 3.2: Dividing Polynomials Long Division of Polynomials Example 1 Long Division of Polynomials Divide 6 2 − 26 + 12 by − 4 . ? ¡ = ¡ ⋅ ? ¡ + ? ¡ . Division Algorithm If ? ( ) and D ( ) are polynomials with ¡ ≠ 0, then there exist unique polynomials ? ( ) and ? ( ) , where ? ¡ is either 0 or of degree less than the degree of ( ) , such that The polynomials ? ( ) and ( ) are called the dividend and divisor , respectively, ? ( ) is the quotient , and ? ( ) is the remainder . Math 1650 Lecture Notes § 3.2 Jason Snyder, PhD Dividing Polynomials Page 2 of 6 Example 2 Long Division of Polynomials Let ? ¡ = 8 4 + 6 2 − 4 + 5 and ¡ = 4 2 − − 2 . Find polynomials ? ( ) and ? ( ) such that ? ¡ = ¡ ⋅ ? ¡ + ? ¡ ....
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This note was uploaded on 10/07/2009 for the course MATH 150 taught by Professor Unknown during the Spring '06 term at Ohio State.

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Section 3_2 - Math 1650 Lecture Notes § 3.2 Jason Snyder,...

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