Unformatted text preview: a ( x ) nor b ( x ). Problem 4. Find a d ( x ) = gcd ( a ( x ) ,b ( x )) and write it as polynomial linear combination of a ( x ) and b ( x ): a) a ( x ) = x 4 + 1 and b ( x ) = x 3 + x 2 + x + 1. b) a ( x ) = x 2 + 3 x + 2 and b ( x ) = x 3 + x 2 + x + 1. Problem 5. For the equations below either ﬁnd a solution or explain why they do not have a solution: a) x 2 + 5 x + 4 = n ( x )( x 2 + 3 x + 2) + m ( x )( x 3 + x 2 + x + 1) b) x 2 + 4 = n ( x )( x 2 + 3 x + 2) + m ( x )( x 3 + x 2 + x + 1) 1...
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 Spring '08
 MULLEN
 Math, Algebra, Fundamental Theorem Of Algebra, Prime number, polynomial linear combination

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