I posted this problem last night and some one told me I was wrong. Today, two of my group members have the same answers for this problem. Can some one tell us what or where we went wrong?

Question

Using rational zero theorem find all rational zeros

P(x)=3x^3+43x^2+43x+27
Factors: 27, -1, 3, 9, 27
Factors: 3, -1, 3

+-1/3, +-1, +-3, +-9, +-27 possible rational zero for function P(x)