Does anyone know a reasonably standard technique to factorise something like,
i.e. when not given any other information (like one of the factors), how to recognise it can be factored, and do it etc
notice that the degree of y is 2 or 4, we can let .
consider the left hand side as a quadratical polynomial of t , we can rewrite it as
then factorise :
since the root of is 0 , 1(multiple root) , 4, we have .
then we find the fact that is exactly the sum of .
therefore the factorization follows immediately.
I hope I've made myself clear enough, and can help you out. Good luck!