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Expanding 3 brackets is very much the same method as expanding 2. In the example you gave, to start you would expand the first two brackets out using the FOIL method (firsts, outsides, insides and leftove...

To find the minimum point of a quadratic equation, the quadratic should be written in the form '(x+a)²+ b', i.e. completing the square, where the coordinates of the minimum point will be (-a,b)...

The first thing to do, is to assess how far the student has managed to work, and then find the missing pieces within the students skill or knoweldge. I might decide to go through the question with the stu...

So first you need to recognise that you are able to take 2x out of both the numerator and denominator of the fraction:(72x3 - 18x)/(12x2 - 6x) = 0 ---> (2x (36x² - 9))/ (2x (6x - 3)) = 0 ,...

Completing the square is a technique that converts a quadratic polynomial of the form:y=ax^2+bx+c into:y=a(x-d)^2+eThis converted form can be used to identify the location of the turning point. The turnin...