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Take the example x² + 5x + 6.You need to think of 2 numbers that multiple together to make 6, and add together to make 5. Therefore in the brackets we need 2 and 3. As all the signs are positiv...

The first thing to recognise is that this function is a product of two functions: namely, 4x^2 and ln(x), thus we must employ the product rule in order to find the solution. As you may recall, the prod...

Firstly we rearrange one of these equations so that we have y on one side of the equation on its own. Let's do this with the second equation.

So from 5x+y=14, we can minus 5x from both si...

Solve the equation :  x² - 8x + 15

The first step is to factorise the quadratic equation.

1. You must find two numbers which will add to g...

This is a past paper question for an A level OCR MEI paper for Maths.We need to find the gradient of the curve so we know right away that we need to use differentiation.The equation y = ln(1-cos2x) is dif...