.-.
yeah i believe it's sometimes:)
you can always factor, just not always using integers
if the roots are \(1\) and \(3\) then you can factor as \((x-1)(x-3)\) but if the solutions are \(2+\sqrt5\) and \(2-\sqrt5\) then you can factor as \[(x-(2+\sqrt5))(x-(2-\sqrt5))\]
This is slightly goofy, but if we assume "nice factors", then sometimes is the answer
YAAY~! ^_^ Ari! First question I ever saw you post! ^_^
@phi i agree with him
on the other hand if some one says "pick a number" you are not likely to say \(2+\sqrt5\) so it is unlikely you can actually "solve' the equation by factoring
YAY! YOUR NOT A SUPERHERO!! YOU HAVE MATH TOO! ^_^
Yes, when you can't factor it, use the quadratic formula, and then finally, you will be able to factor it.
Join our real-time social learning platform and learn together with your friends!