Question

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

Answer 1

The completely factorized form is: (x - 1)(x + 2 )(x - 3)

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 0

Then, the rest of the division is: x - 3

Thus, the completely factorized form is: (x - 1) (x + 2 ) ( x - 3)