this is how to figure out if you can factor a simple trinomial or if it even is a simple trinomial

first you look if the the terms have a greatest common factor (GCF). No? that’s ok, now check if you have a difference of squares, remember to have a difference of squares you must have two terms, perfect squares, and it must be a subtraction. If you don’t have a difference of squares that’s still ok, time to check if you got a pattern. In this case we do so we can factor. Check if it is a simple trinomial or if it’s an ugly trinomial, it’s easy to tell because if there is a lead coefficient more than 1 it’s an ugly trinomial and you have to do more work than we do now. Now you just look for what would work with FOIL and that is how you factor

like my last post this is a method of multiplying but not just binomials I just used binomials to example this expression

this is an easier way to multiply binomials because you can really see it here where the 6x and the 5x add together, it’s basically like a multiplication table where you just fill in the boxes and do the equation

This method of multiplying binomials is called the claw or FOIL which stands for front, inside, outside, and last

It’s one of the more simpler ways to multiply binomials and what you do is take the first two numbers or variables in this case and you multiply and with this question it equals X squared than we take it to the outside and inside which are most likely going to be like terms and with this question it was, it was 6x and 5x and since they’re both positive they equal 11x, to simplify that you basically just add them when it’s all positive and then finally you multiply the final two to give you 30