Question

3X4-25X2+60

Answer 1

FACTOR

Answer 2

3x^4 - 25x^2 + 60
Let t = x^2
3t^2 - 25t + 60
Can you factor this first?

Answer 3

well you have a slight error given the posting you just closed

\[f'(x) = 15x^4 -75x^2 + 60\]

which can be factored to

\[f'(x) = 15(x^4 - 5x^2 +4)\]

which becomes

\[f'(x)(x^2 -1)(x^2 - 4)\]

or

\[f'(x)=(x -1)(x+1)(x-2)(x+2)\]

now you can play witht he 2nd derivative to check their nature

Answer 4

thats provided you are still asking about

\[f(x) = 3x^5 -25x^3 + 60x + 1\]