posted by Anonymous
Find all possible rational roots using the rational root theorem.
x^4 - 3x^2 + 12 = 0
Plus/minus 1, 2, 3, 4, 6, 12?
It is a 4th degree equation, so at most you could have 4 roots
How can you possible get 6 of them ?
These are just possible rational roots, not the actual ones.
All I did was p/q.
The question was to "find all possible roots"
so you would try
f(1), f(-1) , f(2) ...., f(±12)
so you must try all of these
unfortunately, none are equal to zero, so you have no rational roots.