What is the completely factored form of f of x equals x3 - 2x2 - 5x + 6

Answer:The completely factorized form is: (x - 1)(x + 2 )(x - 3)Step-by-step explanation:To find the solution, we use Ruffini's rule:                                               1     - 2     -5     + 6 We first divide by (x-1): 1           1       -1     -6                                                                  ________________________                                              1       -1     -6       0 Then divide by (x + 2): - 2              -2   +6                                                               _______________________                                               1        -3      0Then, the rest of the division is: x - 3Thus, the completely factorized form is: (x - 1) (x + 2 ) ( x - 3)