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When thinking about stationary points, it is important to remember that these points happen when the gradient of the curve is 0 (-> dy/dx = 0), or if you prefer, when the rate of change of a graph is 0...

To factorise z³+1 into a linear and quadratic factor, it is best to try the factor theorem first. We set the equation to zero: z³+1=0.We need to find a value of z such that the above...

We want to make y the subject of the equation and so we need to write it in the form y=f(x) where f(x) is a function in terms of x.When rearranging equations with fractions for a certain subject, factoris...

There are two main ways of solving this equation, substitution and elimination, here we go through the susbtitution method. This involves rearranging one of the equations to get one of the variables in...

Begin by considering the numerator and denominator separately, simplify both:
1) 3x^2 - 15x
Here, a common factor of 3x can be removed to give 3x(x^2 -5).
2) 3x^2 - 13x -10
This involv...