Solving Quadratics By Factorising | Algebra | Maths | FuseSchool

Quadratics using have an x-squared, an x term and a number on it’s own (known as a constant). There are a few different ways to solve quadratics: factorising, using the quadratic formula or by completing the square. In this video we look at solving by factorising.

Solving just means to find values of x that satisfy the quadratic. Usually there will be 2 solutions, but sometimes there is just 1 and sometimes there are no solutions.

The solutions are also known as roots. When we factorise, we usually end up with two brackets. E.g x^2 + 2x - 8 factorises to become (x + 4)(x - 2). To solve this factorised quadratic, we make each bracket equal to zero and solve the mini-equations from there. x + 4 = 0 and x - 2 = 0. Solve these and we get x = -4 and x = 2. Two different solutions (or roots). If we plotted this quadratic, these two roots are where the curve crosses the x-axis.


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