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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 2x 2 term. Only factors of 3 are 1 and 3 therefore a and b are either 1 or 3. Playing around and intuition leads us ...
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Answered by Albert R. Maths tutor
6918 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 has t...
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Answered by Arjun A. Maths tutor
6002 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 is...
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Answered by Arjun A. Maths tutor
5365 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, there ...
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Answered by Arjun A. Maths tutor
5170 Views

How do I know when a verb takes haben or sein?

The easiest way to think about these verbs when forming the present perfect is to think about what they do. Haben is the verb we use most regularly, and if you are in doubt, it's usually the one to go for. F...
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Answered by Ilona B. German tutor
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