One factor of the function f(x) = x3 - 6x² + 11x - 6 is (x-3). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

Step-by-step explanation:

Let's start with the easiest way to answer something like this. Graph it.

The graph was put in as y = x^3 - 6x^2 + 11x - 6

The roots need to multiply to - 6 if the equation has integer roots (which it does). The y intercept is (-6,0).

Oh, I just saw that you can't use technology. Well you might use it to get the answer.

(x - 3) || x^3 - 6x^2 + 11x - 6 || x^2 - 3x + 2

            x^3 - 3x^2

                   -3 x^2  + 11x    

                  -3 x^2 +  9x

                                   2x  - 6    

                                   2x  - 6

Now x^2 - 3x + 2     factors

(x - 2)(x - 1)

So your three factors are (x - 3)(x - 2)(x - 1)

d i think

step-by-step explanation:

answer: it's d

step-by-step explanation: