Here, we want to factorize the given trinomial using the box method
We follow the processes as highlighted below;
a) We multiply the leading coefficient and the term without a variable, i.e the constant term number
That will be 2 * (-12) = -24
b) Now, we find two numbers whose product will be equal to -24 and the sum will be the middle term which is +5
In this case, the numbers are -3 and 8
c) Now, we are going to place the following in the grids;
d) The next thing to do is to find the greatest common factor on each row and each columm and place these outside the box
We have this as follows;
e) The factors are the outside terms on the box and we have this as;
