i have two problems like this
6y^2+y-15
but whenever i try to factor it i always get prime so could you guys just like give me an example or something similar to that problem because i cant find anything about that in my notes thank you
Intuition. At your level, you will want to do a lot of guessing and checking, as I explain below.
Well, Wikipedia can probably explain it better than I could. Take a look at:
Factorization - Wikipedia, the free encyclopedia
I can just look at the problem and immediately see that it factors to that. You want your middle and outer terms to equal y (in this case -9y + 10y) and you want to make sure you have degree 2 (y^2). Specifically, you want 6y^2, therefore will want the first terms of each composition to be either:
1, 6
6, 1
3, 2
2, 3
And finally you want the 2nd terms of each composition to equal -15; thus, this will help you determine which of the combinations above you need to factor the whole expression, since you want the 6y^2 and -y to be fixed.
It takes practice.