Please show the work

C

Step-by-step explanation:

Here's a trick:

Find the last number of the equation and look at your factors to see which numbers you can multiply to get that answer

in this case the last number of x^3-8x^2+17x-10 is -10

*IF IT HAS A NEGATIVE, ALWAYS REMEMBER TO INCLUDE IT*

Then look at the options and see what numbers can get you -10 but include the factor that they give you.

in this case C has the numbers as -1×-5×-2 gives you -10

now to check by using the box method, which is much easier to do, and put pick 2 of those factors and check if it's right

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5