What is factorisation???
Factorisation is the reverse of expansion. Expansion is removing the brackets from an expression while factorisation is adding brackets to an expression.
e.g.
x to the power of 2 + 5x+ 6 = ? x + 3 | 3x
x + 2 | 2x
First we draw this and add the expression in it. _________|____
x*2 + 6 l 5x
What I did here is that I found the factor of x*2 which is x and x and found the factors of 6 which is 2 and 3. After this you have to multiply the bottom x with the top 3 and the top x with the bottom 2 and write the answer on the other side of the line. to check your answer u have to either add or subtract 3x and 2x to get the answer below the line which is 5x. After seeing everything co-ordinates with everything, you will get your final answer. Thus the answer of this expression is (x+3)(x+2) after factorising it.
This picture shows that factoring is the reverse of expansion.
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