Question

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

Answer 1

Any help appreciated

Answer 2

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.

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

to avoid confusion...

you need to solve

x - 2 = 0

x - 8 = 0

and x = 0

for the solutions...

Answer 7

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

Answer 8

thats correct...