Question

How to do factorisation in easy way?

Answer 1

Its very easy.. Take an example we have equation: ax^2+bx+c= 0, => U have to first multiply coefficient of x^2 and x^0 ( number at last without x) Means a*c.... => Now u have to think two numbers whose sum or difference is = b (with sign) and whose multiplication is = a*c .... => For example: x^2-5x+6=0 => we are having a= 1,b=-5,c=6, => Now we have to take two numbers whose sum or difference is -5 and whose product is 6.. => This is the only thing u have to think ..... Here we can take -2 and -3 bcz -2+(-3)= -5 and -2*-3= 6 => x^2-5x+6 can be written as => x^2-3x-2x+6 = x(x-3)-2(x-3) = (x-3)(x-2) These are two factors