Question 982159
Express the function definition,  x^3-11x^2+36x-36.
Rendering makes it appear  {{{x^3-11x^2+36x-36}}}.


Typical shape for polynomial based on x^3  is increasing from the far left, increasing toward the far right, and may or may not have a left side maximum and a   right side minimum.


Try to factorize using synthetic division and Rational Roots Theorem.  Binomial factors will indicate the x-intercepts.  Obviously the y intercept is  {{{f(0)=-36}}}.



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Google showed a graph indicating the roots or zeros are  2, 3, and 6.  You could get the same information using Rational Roots Theorem.