Question 92468
{{{f(x)= x^3 - 8x^2 + 17x - 9}}}
~
{{{f(x) - f(1) = 0}}}
{{{x^3 - 8x^2 + 17x - 9 - (1 - 8 + 17 - 9) = 0}}}
{{{x^3 - 8x^2 + 17x - 9 - 1 = 0}}}
{{{x^3 - 8x^2 + 17x - 10 = 0}}}
{{{x^3 - 8x^2 + 17x - 10 = 0}}}
~Use Synthetic Division, Descartes Rule of Signs, +- p/q, or whatever you know
{{{(x - 1)(x - 2)(x - 5) = 0}}}
x = 1, 2, 5
{{{graph(300,300,-1,6,-6,1,x^3 - 8x^2 + 17x - 10)}}}