factoring is expanding or simplifying binomials or trinomials, such as; 6x+3 and +11x +24
these can be simplified
6x+3, can both be divided by 3, if you divide 3 from both sides, you are left with 2x+1, but this is still not finished, since we divided the 3, we have to add it out front: 3(2x+1)
+11x +24, is more complicated, we have 3 terms, the will always be an x*x, we will use this as our base
(x+_)(X+_) from here, we have to look at all the numbers that multiply into the last number.
In this case, we have to look at factors of 24
24*1
12*2
8*3
6*4
then we have to look at the single X value, and see if any of these factors add up into the x value, here 8 & 3 add up into 11.
So our equation would look like (X+8)(X+3)