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Factorise 2(x^2) +7x+3

Only factors of 2 are 1 and 2, therefore solution will take form of (2x + a)(x + b) to get 2x2 term. Only factors of 3 are 1 and 3 therefore a and b are either 1 or 3. Playing around and intuit...

Answered by Albert R. Maths tutor
4482 Views

Simplify (3x^2 + x -2)/(x^2 - 1)

First notice that no simplifications can be made to the problem without changing the form. We start by factorising the numerator. The highest power of x in this question is 2, therefore we know that it ha...

Answered by Arjun A. Maths tutor
3845 Views

Integrate x^3 * lnx

I would start by asking the student the different forms of integration we know (e.g. substitution, parts).I would then ask the student whether parts or substitution gives the easiest method.If the student...

Answered by Arjun A. Maths tutor
2470 Views

Find the stationary points and their nature of the curve y = 3x^3 - 7x + 2x^-1

To start, we need to know that the gradient of the curve at the stationary points is 0 and that when the second derivative is less than 0, there is a maximum and when the derivative is greater than 0, the...

Answered by Arjun A. Maths tutor
4010 Views

Why was the Six Day War of 1967 a turning point in the situation in the Middle East?

The Six Day War of 1967 was a curcial conflict in the history of both Israel and the Arab States around it. With the Israeli victory, many issues arose that changed the way that people felt and behaved wi...

Answered by Lavie R. History tutor
3564 Views

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