One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). 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.

x-intercepts: (1,0), (2,0), (5,0)

y-intercepts: (0,-10)

Step-by-step explanation:

One factor of the function is

Factor the polynomial in the following way:

Now factor the quadratic in brackets:

Hence,

The x-intercepts are points at which y = 0, so

The y-intercepts are points at which x = 0, so

-6 is the correct option from the above given options

where are the choices?