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Factorising is a way of simplifying an equation by putting it into common parts. In the equation above we can see that x is common to both the 5x^2 and the 20x. If we divide by x and put this in-front of ...

First, notice that any equation crosses the x-axis when y = 0.Second, notice that x² + x - 2 = 0 is an example of a quadratic equation. So, we generally do 1 of 3 things (Factorise, Complete th...

To prove (x+2) is a factor, the value of x that makes x+2 equal 0 must be substituted into the function g(x) also making g(x)=0. In this case, the value of x being -2 makes x+2 equal to 0 and when substit...

The answer is 2/3. This can either be obtained by performing a standard integration of y=x^2, using the power rule, between x = 1 and x = -1. Alternatively, integrate y = x^2 between x = 0 and x = 1, then...

First, factorise the equation into y = (x+3)(x-2)(x+2), nothing that x²-4 is the difference of two squares so is easy to factorise. From the factorised equation, the points at which the curve...