1. The problem statement, all variables and given/known data im working on developing the graph for the following function: h(x)= (x+1)^5 -5x -2. i have h'(x) = 5(x+1)^4 -5 and h''(x) = 20(x+1)^3 i get stuck when trying set h'(x) = 0. i know that there are four roots because i graphed it on my calculator but using traditional methods i can only figure out mathematically 2 of them i.e. 1 and -1. my calculator shows the other two at approx .45 and -.45. can someone please guide me to the simplest way to break down h'(x) and find its roots? thank you. 2. Relevant equations h'(x) = 5(x+1)^4 -5 3. The attempt at a solution ive tried many different methods to reach a solution,1) factoring (couldnt figure it out), 2) trying to get each side down to x^2 factors so i could use the quadratic formula (got messy/didnt work correctly *i think!*) 3) just looking at it and plugging in numbers (this is how i got -1 and 1). I just dont know what to do aaaaaannnd the answer is not in the back of the book.