*In this short post I wish to explain how to solve simple quadratic equations with Trinomial factorisation*

To solve a quadratic equation in this form there are two main methods you can use to solve these either trinomial (also known as quadratic) factorisation or the quadratic formula. In this article I will explain the factorisation method.

In maths it is always easier to use an example than to explain with words alone.

Ex1: Solve by factorisation x^{2 }+ 8x + 12 = 0

1. Break into two brackets with an x in each:

> (x ) (x )

2. Find two numbers that add to give 8 and multiply to give 12. Then place in the other side of each bracket.

> (x 6) (x 2)

3. Put in the sign (+ of -) since the numbers are +ve use a plus sign.

> (x + 6) (x + 2)

4. Multiply out to check:

> (x + 6) (x + 2)

= x^{2 }x 8x + 12

5. Re write as:

> (x + 6) =0

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> (x + 2) = 0

This gets more complicated when you use either –ve numbers or start with more than one x^{2}. Here is a worked example:

Ex2: Solve by factorisation 3x^{2} + x – 4

>(3x ) (x )

> (2x 4) (x 1)

> (2x + 4) (x - 1)

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