One root of mc020-1.jpg is x = 2. what are all the roots of the function? use the remainder theorem.

 The given polynomial is f(x) = x3- 9x2 + 26 x -24. if the one root is equal to 2, then we can determine the other roots by synthetic division: 

2 |  1   -9    26    -24
           2    -14     24
       1  -7     12     0

x2 -7x + 12 = (x-3)(x-4)

as a correction, we used root of -2 to determine the other roots. the other roots then are 3 and 4.