State the possible rational zeros for each function. You do NOT need to test to find the actual zeros.

f(x)=5x^3 −11x^2 +7x−1

So I haven't done this before, any help?

Question

State the possible rational zeros for each function. You do NOT need to test to find the actual zeros.

f(x)=5x^3 −11x^2 +7x−1

So I haven't done this before, any help?

campbell_st · Answer

the rational root theorem says find the factors of the constant -1  and call then p

then find the factors of the coefficient of the leading term 5... call them q

then the rational roots are p/q

so you have 4 to identify

hope it helps

anonymous · Answer

So +-1 and +- 5

campbell_st · Answer

well 1 and -1 is correct... so remember its p/q

so its 1/q   -1/q

judt identify q

anonymous · Answer

so 1/5 and -1/5 I'm thinking

campbell_st · Answer

that's it... now you have the 4

anonymous · Answer

Thanks so much!

anonymous · Answer

Do you mind if i ask another question?

anonymous · Answer

f(x)=x^3 −6x^2 −11x+10

would I use the x for p or the 6

campbell_st · Answer

well the constant is 10... find the factors of 10.. call it p

and the coefficient of the leading term is 1    .. find the factors so that's q

so its again p/q

anonymous · Answer

so i got -1 and +1

anonymous · Answer

but not the other 2

campbell_st · Answer

ok... factors of 10

$$\pm1, \pm2, \pm5, \pm10$$

factors of 1

$$\pm 1$$

so then its $$\pm1, \pm2... $$

the other 2 should be obvious

anonymous · Answer

oh i feel stupid sorry