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Edexcel A Level Maths: Pure:复习笔记2.5.2 Polynomial Division
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Date: 2022年10月25日 下午3:13
Polynomial Division
What is a polynomial?
A polynomial is an algebraic expression consisting of a finite number of terms, with non-negative integer indices only
What is polynomial division?
Polynomial division is a method for splitting polynomials into factor pairs (with or without an accompanying remainder term)
At A level you will most frequently use it to factorise polynomials, or when dealing with improper (ie 'top-heavy') algebraic fractions
How do I divide polynomials?
The method used for polynomial division is just like the long division method (sometimes called 'bus stop division') used to divide regular numbers:
At A level you will normally be dividing a polynomial dividend of degree 3 or 4 by a divisor in the form (x ± p)
The answer to a polynomial division question is built up term by term, working downwards in powers of the variable (usually x)
Start by dividing by the highest power term
Write out this multiplied by the divisor and subtract
Continue to divide by each reducing power term and subtracting your answer each time
Continue until you are left with zero
If the divisor is not a factor of the polynomial then there will be a remainder term left at the end of the division
Worked Example
转载自savemyexams
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