Book Maths Puzzle Algebra

How do you factor:
-4x^3 + 36x^2 - 12?
It is the prime of f(x) = 12x^3 - 12x + 24.

I need to find the intervals where the graph of f is concave upward, concave downward and the inflection points.
Thanks,
Anne

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I have been out of school for 20 years and trying to help my daughter with her homework, and I need help.

The problem is: I have $850 to replace a patio. I'm making a square concrete patio with a brick border that is 8 inches wide around the outer edge of the patio and the total length of a side is 2X inches. Draw a diagram and write a polynomial for the area of the floor of the patio not including the brick. Assume that X is equal to 10.''. Your teacher is giving you a test worth 100 points containing 40 questions. There are 2-point and 4-point questions on the test. How many of each type of question are on the test?