Algebraic Long Division
Summary Polynomial long division is normal long division but with polynomials instead of just numbers. If a polynomial p(x) is to be divided by (x – a) and p(a) = 0 then we can say that (x – a) is a factor of the polynomial Revise the steps below to be able to carry out … Read more
Partial Fractions
Summary Remember these formulas of partial fractions for different types of fractions: We can recall from GCSE’s that to transform a function consisting of many fractions into a single fraction, we take LCM (lowest common factor) of the entire function i.e: if we have a function , we take its LCM and make it into … Read more
Surds
Summary Rational Number: A number that can be written as a fraction, where both the numerator and the denominator are whole numbers. E.g 3/4 Irrational Number: They cannot be written as a fraction. They can only be written as decimals numbers. E.g which is equal to 1.7320…… A surd is a number that’s written … Read more
The Binomial Expansion
Summary Pascal’s Triangle can be used to multiply out a bracket. When we have large powers, we can use combination and factorial notation to help expand binomial expressions. What is a Binomial? A binomial is an expression which consists of two terms only i.e 2x + 3y and 4p – 7q are both binomials. What … Read more
Iteration
Summary Iteration is a method of finding an approximate solution of a given equation. Remember the 3 steps below to carry out iteration: Find the interval in which the root lies. Select a suitable value in that interval then substitute again and again in the given iterative formula to give a better approximation. When we … Read more