Let x^4-x^3-12x^2-3x+1 = 0 be polynomial equation. Find the list of all potential rational solutions for the polynomial equation using the rational root theorem. Then , find the actual solutions.
1. find all potential solution(s)
2. Find all distant actual rational solution(s)
x^4 - x^3 - 12x^2 - 3x + 1 = 0
1. potential solutions = -1 or 1
2. The rational roots theorem won't help here
We actually have no rational roots
See the (exact value) roots here calculated by WolframAlpha :
These are extremely messy......LOL!!!