Question

i have a quick x intercept question

Answer 1

so the equasion is\[f(x)= x ^{4}-4x ^{3}\]
i have to find what values of x make it = 0
in this form, the answer is x=0
but!
if i change it to \[f(x)=x ^{3}(x-4)\]
then the answer is x=0, x=4

which one is right?

Answer 2

you are missing something

Answer 3

if you factorize it then it become
f(x) = x^2 (x^2 - 4 )

Answer 4

now x=0 and x=2 ----> this is the right answer

Answer 5

it's a quartic function, so i can have up to 4 roots (x ints) so both are intercepts are acceptable given that the values are within the domain of the function, or within an interval that is, otherwise, specified.

Answer 6

ps the person underneath you didn't factor correctly