Answer:
The possible solution of the polynomial equation [tex]x^{3} +2x^{2} -5x-6=0[/tex] are the following values (-1,2,-3)
Step-by-step explanation:
We use synthetic division to find the roots which satisfy the equation mentioned before:
1. First we compile the list of all possible rational roots using the Rational Zero' Theorem
The factors of the constant term 6 are: ±1, ±2, ±3, ±6
The factors of the leading coefficient 1 are ±1
So now we divide all the factors of 6 by all factors of 1 to get the following list {±1, ±2, ±3, ±6)
2. Now we start testing values until we find the roots, the complete solution is attached in pdf format:
