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My advice is always past papers! There are only so many questions that the examiner can ask, and a lot of the time the questions have already turned up in previous papers. I would also just try to stay as ca...

Since there is an x^2 term, we know that there are two brackets that are of the form (x- ) (x- ), but we need to fill in the blanks! What are the two numbers where you can add them up to make 3, and you can ...

f(-1) = (-1)^3 - (-1)*7 - 6 = -1 + 7 - 6 = 0 Hence f(x) = (x+1)(x^2 + ax - 6) Expand this out f(x) = x^3 + ax^2 - 6x + x^2 + ax - 6 = x^3 + (a+1)x^2 + (a-6)x -6 By comparing co-efficients a + 1 = 0 a - 6 = -...

Mathematical induction is a type of direct proof, where you can prove sequences or series. A good example of this is that we can prove 1 + 3 + 5 + .... + (2n-1) = n^2. There are 4 steps: 1. Prove the first c...

Erosion is the wearing away of the bank of the river as well as the bedload it transports. There are four main forms of river erosion. Firstly, Hydraulic action is where the force of the water acts to break ...