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What you need to know
What you need to know:
Quadratics are very commonly presented in equation form, and your first step towards solving an equation like this is almost always a case of rearranging it so that all your non-zero terms are on one side of the equation, and all that’s left on other side is a zero. Once you have collected like terms together, it is very possible that the resulting quadratic can be factorised, and indeed this is one method of solving the quadratic equation.
After factorisation, the process of determining the solutions to the equation is straightforward. For example,
x^2 - x - 6 = 0 factorises to give (x - 3)(x + 2) = 0
which in turn means that x - 3 = 0 or x + 2 = 0, and so x = 3 and x = -2 are the solutions. You should be familiar with applying this method of solution by factorisation also on slightly different types of quadratics such as:
- x^2 - 25 = 0
- a^2 - 3a = 0
- 3x^2 + 5x - 2 = 0 (only for the higher course).
Solving Quadratics Through Factoring Revision and Worksheets
If you are looking for GCSE Maths materials for your students then the factorising quadratic resources on this page are a great way to cover this topic. Whether you are a private Maths tutor in York or you are a maths teacher in London, the factorising quadratic questions will make a great homework task or could even be used as lesson material.
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