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\nSolving Quadratics By Factorising\n

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\nQuadratics 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...\nQuadratics 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.\n
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Resource Details

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Media Length
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3:02
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Grade
6th - Higher Ed
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Subjects
Math
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\nFuseSchool - Global Education\n\n
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Date
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2017
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Language
English
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For Teacher Use
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Fine Print: Educational Use
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Concepts

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quadratic formula, roots, solutions, questions, time, completing the square
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maths, digital learning, online learning, learn maths, school maths, mathematics, gcse maths, high school maths, maths help, free online education, complete the square, factorise, solve, quadratics, values of x, solve quadratics, quadratic, term, solving, factorize, video, discover, factorizing, watch, videos, completing, square, give, make, ready
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