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Firstly, we want to gather similar terms. This means that we want to rearrange the equation so that all the x terms are on one side of the = sign and all the constants (the "ordinary" numbers) a...

Let n be an odd integer. This means that n is 1 more than an even integer. By definition, even integers are multiples of 2 so all even integers can be written in the form 2m where m is an integer. Therefo...

Firstly, the equation should be rearranged to get all the non-zero terms onto one side, with the simplest way of doing this being subtracting 12 from both sides, giving the equation x² - x - 12...

First you should express this in the correct format using the integral sign. We need to find the integral with respect to x so include dx in the equation before integrating. To integrate we add one to the...

Let's do an example. Sketch: y=x^3 - 2x^2 - x + 2. First we need to find out where the curve crosses the x and y axes. Look at the x axis first. We factorise the expression if we can. The best method ...