How do I simplify the following equation x^2+5x+6

Firstly write out the question. x^2+5x+6. After this look at the constant without any x's. In this case that number is 6. Now look at the number 6 and work out the combination of factors for 6. Do this such that you are multiplying 2 numbers together. So in this case these combinations would be, 1 and 6, 2 and 3, 3 and 2, 6 and 1. You can ignore combinations which are the same but in reverse, so you can ignore 3 and 2, 6 and 1, because these are the same as 1 and 6, 2 and 3. Now that you have found the factors we now move on to look at the 5x. We now want to look at how we can make 5 from adding and subtracting the pair factors together. Which in this case can be made by adding 2 and 3 together (2+3) or by subtracting 1 from 6 (6-1). To work out which pair of numbers to use, we need to look at whether the constant at the end is positive or negative. As 6 is positive the factors of the equation can only be positve. Therefore the factors of this equation are 3 and 2. Therefore the simplified equation is (x+3)(x+2).