graph the polynomial function g(x) = x^4 -4x^3 +3x^2

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graph the polynomial function g(x) = x^4 -4x^3 +3x^2

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Option A: Use a CAS, like gnuplot or Wolfram Alpha to do it. Option B: Do it by hand, calculate the roots, extremal points and points of inflexion to get a good idea of how the graph should look like. Option C: Do it by calculating many points of the graph, then connect them appropriately.
okay how would I do this by hand
Which point exactly is unclear?

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The whole thing I am lost on this because I was out sick the day this was covered and the notes i got make no sense to me.

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