One factor of the function f(x) = x3 − 9x2 + 20x − 12 is (x − 6). 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.

The x-intercepts are:

(1, 0)

(2, 0)

(6, 0)

The y-intercept is (-12, 0)

Step-by-step explanation:

Given the function

Determining the x-intercepts and the y-intercept of the graph of f(x)

Finding x-intercept

We can determine the x-intercept by setting y = 0 and determining the corresponding value of x.

plug in x = 0

as

so

Using the zero factor principle

if ab = 0 then a=0 or b=0 (or both a=0 and b=0)

Thus,

 or    or  

Thus, the x-intercepts are:

(1, 0)

(2, 0)

(6, 0)

Finding y-intercept

We can determine the y-intercept by setting x = 0 and determining the corresponding value of y.

plug in y = 0

Therefore, the y-intercept is (-12, 0)

I apologize if this is incorrect, but I hope this helps! Have a great Monday!

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

answer: idk wbu

step-by-step explanation: umm..