Question

determine when to use the rolles theorem f(x)=(x-1)(x-2)(x-3) [1,3]

Answer 1

sshould i foil everythibng first?

Answer 2

no

Answer 3

you only need to check to see if
\[f(1)=f(3)\]

Answer 4

which is a lot easier to check in factored form, because you can see almost instantly that
\[f(1)=f(3)=0\]

Answer 5

i am not exactly sure what "when to use rolles theorem" means
if it means "is rolles theorem applicable" then the answer would be "yes"

Answer 6

because x cant be 1 or 3, thats why f(1)=f(3)?

Answer 7

what if i were to find the derivative?

Answer 8

should i use the product rule?