# C4 Summary Revision Table

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- Created by: katherine
- Created on: 05-09-13 11:50

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Core 4 Summary Revision Table

Algebra & Functions Binomial Series Trigonometry

Remainder Theorem when a From C2 the Binomial Expansion is developed to : Solving equations (in degrees or radians) and

polynomial f(x) is divided by ax+b, proving identities using compound and multiple

angle identities.

then = R, where R is where n is not a positive integer, and is only valid for

the remainder. 1<x<1 ie |x|<1

Factor Theorem if axb is a To obtain the binomial expansion where n is fractional or

negative, and state the valid interval.

factor of f(x) then Expansion of by first factorising to

Simplifying Rational Functions

Note: the above are in the formula booklet, but

you need to know or work out the following :

ie where both f(x) and Use of binomial expansion to find a numerical

p(x) are polynomials. approximation.

Expressing algebraic fractions in Use with partial fractions to expand a rational function

partial fractions, including where

there is a repeated factor in the

denominator.

Harmonic Form

Expressing a function in the

form:

or

where R > 0 and is acute

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