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Quadratic Functions(2). Solving quadratic equations through factorising. Checking to see if a quadratic equation will factorise. Solving through factorisation. Solving a quadratic equation through factorisation is usually the first choice method as it is the easiest.

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Quadratic Functions(2)

Solving quadratic equations through factorising.

Checking to see if a quadratic equation will factorise.


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Solving through factorisation

Solving a quadratic equation through factorisation is usually the first choice method as it is the easiest.

However, not all quadratic equations factorise and if they don’t, you need to use a different method.


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Trick

If you substitute the values of a, b and c into the expression b2 – 4ac and you get a square number then the equation definitely factorises, otherwise, it doesn’t.


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Trick – an example

a=5 b=14 c=-3

b2 – 4ac

Discriminant

(14)2 – 4 x (5) x (-3)

196 – (-60) = 256

This is a square number, so quadratic does factorise


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Solving Quadratic Equations

  • We will now look at solving quadratic equations using factorisation


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