Sectieoverzicht

  • What are quadratic equations?

    A quadratic equation is an equation which is written in the form \(a{x }^{2}+bx+c=0 \) where \(a\), \(b\) and \(c\) are constants and the highest power of \(x\) is \(1\).  \(a{x }^{2}+bx+c=0 \) is called standard form.

    Here are examples of quadratic equations:

    • \(3{x }^{2}+x-2=0 \) Standard form
    • \(a(a-2)=5\) Expand first to get equation into standard form
    • \(\frac{4}{x+1}-1=x\) Multiply through by the L.C.D and simplify to get the equation in standard form

    You must have a good understanding of factorising trinomials before you start this topic. Revise factorisation by clicking on: Factoring Quadratic Expressions.

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      Zero product property

      To solve a quadratic equation by factorisation we need to apply the zero product property. 

      If A times B is equal to zero then A=0 or B=0.

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      Steps to solve a quadratic equation 

      You can learn the steps to solve a quadratic equation by factorising by clicking on this textbook or by watching the next video. 

    • Practise using factorisation to solve equations Test
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