This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 ) Â·Â·Â· ( a l x + b l ) , then (1) R ( x ) Q ( x ) = A 1 a 1 x + b 1 + Â·Â·Â· + 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 ) + Â·Â·Â· + A 1 ,j 1 ( a 1 x + b 1 ) j 1 Case III: Q contains irreducible quadratic factors, none of which is repeated. Then in addition 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...
View
Full Document
 Spring '08
 varies
 Calculus, ax, Rational function, deg, deg Q divide

Click to edit the document details