Suppose p(x) is a polynomial of degree 7 such that $\displaystyle (x - 1)^4$ is a factor of p(x) + 1 and $\displaystyle (x + 1)^4$ is a factor of p(x) - 1. Find p(x).
Thanks and congratulations to Ishuda and particularly johng for their efforts. No need to post my solution this week as johng's post is virtually identical to mine.