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Unformatted text preview: to read part of section 9.1 in the text. An example of long division of polynomials is on page 229, and the statement and proof of the Division Algorithm for Polynomials is on page 230). (a) Let a ( x ) = 4 x 5x 3 + 2 x 23 x + 5 and b ( x ) = 2 x 2 + x + 3. Find polynomials q ( x ) and r ( x ) with deg( r ( x )) < deg( b ( x )) such that a ( x ) = b ( x ) q ( x ) + r ( x ). (b) Let a ( x ) = 2 x 33 x 22 x + 8 and b ( x ) = x 23 x + 3. Find polynomials s ( x ) and t ( x ) such that a ( x ) s ( x ) + b ( x ) t ( x ) = 1....
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 Spring '08
 ANDREWCHILDS
 Algebra, Integers

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