Question

Find all rational zeros of the function.

f(x) =x^3 - 6x^2 +11x -6.

Answer 1

I got as far as to getting 2 as one of them, but the answer also includes 1 and 3.

Answer 2

if you have one of the zeros, x=2, that means now f(x) = (x-2)\(\cdot \)Q(x), where Q(x) is now a quadratic. use synthetic division to find that quadratic then you could solve the roots of Q(x) to find the other 2.