Question

factorize 12x^2 -x-6

Answer 1

The answer of this question is -2/3 and 3/4

Answer 2

12x²-x-6

using splitting the middle term ,

=> 12x²-9x+8x-6

(why ? => in a quadratic equation ax²+bx+c , where a,b,c could be any real numbers
in this equation too its the same thing

to split the mid term , we need to note that the two numbers we are splitting it into , their sum must be equal to that of mid term and product must be equal to the product of first and last term )

=> 3x(4x-3)+2(4x-3)

=> (4x-3)(3x+2)

hope this helps