IB DP Maths: AA HL复习笔记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
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