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The above sample question was taken from the 2018 GCSE Maths Higher paper.First we simplify the numerator, 3x^2 - 8x - 3, which is a quadratic written in the form ax^2 + bx + c so we can simplify it by fa...

2x²+7x+6=0First this question is asking you to find out what x is, but to do that we need to factorise this equation.Find all the factors that multiply to make 6.3 and 2, 6 and 1Of these factor...

The turning point can be found by using the concept of transformations. Firstly, it is important to form a relation between the values of a and b in an equation of the following form y = (x+a)^2 + b and t...

Start by look at the right hand side of the equation, first expand (x-3)² which is also the same as (x-3)(x-3). This comes out to equal (x²-6x+9). Next multiply (x² -6x+9)...

(draws two right angled triangles, one with sides 3 and 4 units with the hypotenuse labelled 'x', one with a side labelled 4 units and 'Y' with the hypothenuse labelled 5 units).
The answer is in two...