Which of the following is a root of the polynomial shown below? f(x)=x^3-x^2-9x+9

(points : 2)
-9

-3

2

9

We have been given a polynomial function . We are asked to choose the root of the function from given choices.

Let us set our polynomial equal to 0.

Now we will factor our polynomial by grouping method.

Let us factor out greatest common factor from each group.

We can further factor using difference of squares.

Using zero product property, we will get:

Upon looking at our given choices, we can see that is the correct choice, therefore, is root of the given polynomial.

step-by-step explanation:

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