g(x) = -x^5 + 11x^4 - 43x^3 + 69x^2 - 36x

Question

d) Clearly mark these points on a graph
- At the first turning point
- At the only root with order two

Answer 1

http://www.wolframalpha.com/input/?i=y%3D+-x%5E5+%2B+11x%5E4+-+43x%5E3+%2B+69x%5E2+-+36x

Note in the alternate forms of the equation, the (x-3)^2 factor which indicates a double root.