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Completing the square is another way of solving quadratics (as well as by factorising and by using the quadratic formula). Completing the square will always work, whatever the quadratic (whereas factorising does not always work). Completing the square also helps us when sketching the graph, as it provides us with the coordinates of the turning point (minimum or maximum). In this video we look at how to plot the quadratic using completing the square. Completing the square quickly gives us the coordinates of the turning point, and if we solve it we get the coordinates of the points that the quadratic crosses the x-axis. The quadratic equation already gives us the y-intercept. So we have 4 points from which we can sketch the quadratic from. (x - a)2 + b = 0, where (a, b) are the coordinates of the minimum/maximum point.
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Watch this video to discover how to plot straight lines onto a graph.
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In this video we’re going to look at how to simplify algebraic expressions. Before we get started on simplifying, a few things to remember:
(1) we always use a use a curly x for the letter x in algebra.
(2) We don’t really use the mul
In algebra, we replace a letter with numbers in the process known as substitution. Given the formula A = 1/2bh, if the base is 5cm and the height is 10cm, then the area is ½ X 5 X 10 because we have replaced the b with 5 and the h with 10. You just need to be be careful with negative numbers: it is