Question 54413
f(x) = x^3 - 8x^2 + 17x - 9
f(1) = 1 - 8 + 17 - 9 = -7 + 8 = 1
f(x) - f(1) = 0
x^3 - 8x^2 + 17x - 9 - 1 = 0
x^3 - 8x^2 + 17x - 10 = 0
(x - 1)(x^2 - 7x + 10) = 0 use Descarte's Rule of Signs and all that stuff
(x - 1)(x - 5)(x - 2) = 0
x = 1 and x = 5 and x = 2
{{{graph(300,300,-5,5,-5,5,x^3 - 8x^2 + 17x - 10)}}}