Given the polynomial function
f(x) = x3 – 4x2 + x + 6
1) name all of the possible roots for the function using the rational root theorem.
2) prove 2 is one of the zeroes of this function (show or describe your process).
3) name the three actual roots of this function and describe how you found them.
4) write the original polynomial function in factored form and describe how you found those factors.