Aarnie is working on the question: Find all zeros of the polynomial P(x)=x3−6x2+10x−8

Aarnie carefully graphs the polynomial and sees an x-intercept at (3, 0) and no other x-intercepts.

He answers: “The only zero of P(x) is x = 4”

But there are two other zeros.

1. Where did Aarnie go wrong? Help Aarnie find the correct solution.

2. Write the factorization of P(x) into linear factors.