What are the possible rational solutions of:
f(x) = x^3 - 10x^2 + 16x

Question

What are the possible rational solutions of:
f(x) = x^3 - 10x^2 + 16x

anonymous · Answer

Any help appreciated

campbell_st · Answer

try x = -2

as you need to factor it 1st

$$f(x) = x(x^2 - 10x + 16)$$

the others may be obvious from the factored function above.

anonymous · Answer

So is it then, x(x-2)(x-8)?

campbell_st · Answer

yep... that seems to make sense... 

so you should be able to find the rational solutions... 

and I made a slight error... its not x = -2.... its x = 2

anonymous · Answer

So, are the solutions -2 and -8 then? Or am I just the slowest person alive? :P

campbell_st · Answer

to avoid confusion... 

you need to solve 

x - 2 = 0

x - 8 = 0

and x = 0

for the solutions...

anonymous · Answer

so the solutions are +2,+8, and 0. Thank you so much then! :)

campbell_st · Answer

thats correct...