So the answer you gave for 2 ends up being not so nice because 10 is not really that small for a leading coefficient when factorising such a quadratic?(Original post by aznkid66)
Hm? Method? I think you misunderstood, it wasn't an alternative to factorization or the quadratic formula.
I just make all the coefficients integers before I factorize, or "have a stab." You should find that quadratics with rational roots are pretty easy to factorize as long as the leading coefficient and constant term are small integers.
Come and get some inspiration.