i need help factoring this eqn.
x^6 + 9x^4 + 24x^2 + 16 = 0
how did it get
(x^2+1)(x^2+4)^2
So that the large powers don't get to you (and to make long division easier), let , then we need to solve:
we see that is a root, by the remainder theorem, thus is a factor by the factor theorem
doing by long or synthetic division, we find that
now replace with and you're done