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How should I plan my English essays?

Lots of students find planning daunting, or think it's unnecessaryt. In fact, it's the most important part of the essay process. Once you've nailed the steps, you've unlocked the key to controlled, though...

JB
6255 Views

How would you prepare for your Maths exam?

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...

AH
Answered by Ayesha H. Maths tutor
3047 Views

How do you factorise x^2 + 3x + 2?

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, an...

AH
Answered by Ayesha H. Maths tutor
13435 Views

Show that the cubic function f(x) = x^3 - 7x - 6 has a root x = -1 and hence factorise it fully.

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

B...

JB
Answered by James B. Maths tutor
4088 Views

What is Mathematical Induction?

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 firs...

AH
Answered by Ayesha H. Maths tutor
3702 Views

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