What factor did you use in the denominator?
Have you considered continuing to factor the remaining expression?
Intersection with the y-axis is (0,f(0)). Don't ever find that curious again.
Even though this is a correct (though not complete) factorisation, you didn't follow the instructions you were given. You are expected to know that if f(a) = 0, then (x - a) is a factor. So being told that f(1) = 0, you should know that (x - 1) is a factor and that you are supposed to divide by (x - 1).
Assuming you have done that or if you want to continue with what you have done, now factorise the quadratic factor.