Answer:
The three factors of the given polynomial are (x + 3), (x - 2) and (x + 1).
Step-by-step explanation:
Use synthetic division here. If synthetic division results in a zero remainder, then the synthetic division divisor is a root of the polynomial and the corresponding factor is easily found from it.
Using k = -1 as divisor:
-1 / 1 2 -5 -6
-1 -1 6
--------------------------
1 1 -6 0
Here the remainder is 0, so we know that the corresponding factor of this polynomial is (x + 1). The remaining factors can be found by factoring x^2 + x - 6: x^2 + x - 6 = (x + 3)(x - 2)
The three factors of the given polynomial are (x + 3), (x - 2) and (x + 1).
