# Revision Partial Fractions

16. Dec 2007
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### Revision Partial Fractions

• 1. DHS H2 MATHEMATICS : a revision package NEXT
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• 7. Note that x 2 is a repeated linear factor (i.e. x repeated twice) NEXT
• 8. We want to find what values are A, B and C. NEXT
• 9. NEXT COVER-UP RULE COMPARING SUBSTITUTION
• 10. NEXT COVER-UP RULE COMPARING SUBSTITUTION
• 11. NEXT If you are quick, skip this step and go to the next step (i.e. equate the numerators)... COVER-UP RULE COMPARING SUBSTITUTION
• 12. NEXT COVER-UP RULE COMPARING SUBSTITUTION
• 13. It is actually faster here to compare like terms in x to find B and C . So always try to use the faster method. NEXT This makes B disappear, leaving only C . COVER-UP RULE COMPARING SUBSTITUTION
• 14. NEXT To check whether your partial fractions are correct, &quot;combine&quot; back the partial fractions on the RHS to see if you could obtain the algebraic fraction on the LHS. COVER-UP RULE COMPARING SUBSTITUTION
• 15. NEXT COVER-UP RULE rewind COMPARING SUBSTITUTION
• 16. NEXT The cover-up rule is actually a shortcut for substituting values of x. Can you see out why? COVER-UP RULE rewind COMPARING SUBSTITUTION
• 17. Click on correct answer to proceed COVER-UP RULE rewind COMPARING SUBSTITUTION
• 18. Yes, this is the correct answer! NEXT COVER-UP RULE rewind COMPARING SUBSTITUTION
• 19.   NEXT not fully factorised fully factorised
• 20. degree 3  degree 1  degree 1  degree 1  II NEXT
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• 22. proper fraction now improper fraction (deg of numerator > deg of denominator) NEXT LONG DIVISION SPLITTING NUMERATOR
• 23. &quot;introduce&quot; denominator in the numerator improper fraction (deg of numerator = deg of denominator) split the numerator to create proper fraction NEXT LONG DIVISION SPLITTING NUMERATOR
• 24. Click on correct answer to proceed A, B B, C B, D C, D
• 25. Bingo! NEXT A, B B, C B, D C, D
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