IB DP Maths: AA HL復習筆記2.7.2 Polynomial Division
What is polynomial division?
- Polynomial division is the process of?dividing two polynomials
- This is usually only useful when the?degree of the denominator?is?less than or equal?to the?degree of the numerator
- To do this we use an algorithm similar to that used for?division of integers
Division by linear functions
- If?P(x) has degree?n?and is divided by a linear function (ax?+?b)?then
Division by quadratic functions
- If?P(x) has degree?n?and is divided by a quadratic function (ax2?+?bx?+?c) then
Division by polynomials of degree?k?≤?n
- If?P(x) has degree?n?and is divided by a polynomial?D(x) with degree?k?≤?n
Are there other methods for dividing polynomials?
- Synthetic division?is a faster and shorter way of setting out a division when dividing by a linear term of the form
Exam Tip
- In an exam you can use whichever method to divide polynomials - just make sure your method is written clearly so that if you make a mistake you can still get a mark for your method!
Worked Example
轉載自savemyexams
以上就是關于【IB DP Maths: AA HL復習筆記2.7.2 Polynomial Division】的解答，如需了解學校/賽事/課程動態，可至翰林教育官網獲取更多信息。
往期文章閱讀推薦：
深耕九載！30+國際競賽/課程講義，碩博100%團隊操刀，助力爬藤沖G5！
翰林AMC8視頻課重磅上線！
國際競賽真題資源免費領取
