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**Unformatted text preview: **Q is a product of distinct linear factors, i.e. Q ( x ) = ( a 1 x + b 1 )( a 2 x + b 2 ) ··· ( a l x + b l ) , then (1) R ( x ) Q ( x ) = A 1 a 1 x + b 1 + ··· + A l a l x + b l Case II: Q is a product of linear factors some of which are repeated. Suppose ( a 1 x + b 1 ) is repeated j 1 times. Then the term A 1 a 1 x + b 1 in (1) is replaced by (2) A 1 , 1 ( a 1 x + b 1 ) + ··· + A 1 ,j 1 ( a 1 x + b 1 ) j 1 Case III: Q contains irreducible quadratic fac-tors, none of which is repeated. Then in ad-dition to the terms that appear in (1) and (2) the expression for R ( x ) Q ( x ) will contain a term of the form (3) Ax + B ax 2 + bx + c...

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- Spring '08
- varies
- Calculus, ax, Rational function, deg, deg Q divide