Factorise y^2 + 7y + 6

So here we have a quadratic equation because it has the structure a^2 + bx + c. In order to factorise a quadratic we first need to look for two numbers that we can multiply together to get 6 and add together to make 7. I find the easiest way to do this is to write down all the factors of 6. So we have 6 and 1, 3 and 2. Then we look at these and see if any of the pairs add up to make 7. 6 and 1 do so we know they are the numbers we need. We put them in the brackets to look like this (y + 6) (y + 1)