Question 1112643
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{{{graph( 330, 330, -5, 5, -10, 10,
          9x^3-3x^2-2x-4
)}}}


Plot y = {{{9x^3-3x^2-2x-4}}}



In such problems, when you even don't know where to start,

start making a plot.  You can do it using your calculator, or computer.


You even can find free of charge plotting software in the internet.


Having a technology in your hands, you can visualize your polynomial in 1 minute.


From the plot, you can see that x= 1 is the root.


Having this hint, you can easily confirm it making manual calculations.


Since x= 1 is the root, it means that the given polynomial is divisible by (x-1) without the remainder.


So, divide the given polynomial by (x-1). You may use long division or another technique.


After dividing, you will get a quadratic polynomial.


What to do with a quadratic polynomial, I will not explain to you. You must know it.


If you do not have technology in your hands, then the only way to find the roots is using the Rational roots theorem - or guessing.
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