+98 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)
+129849 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 :
https://www.wolframalpha.com/input/?i=x%5E4+-+x%5E3+-+12x%5E2+-+3x+%2B+1%C2%A0+%3D+0
These are extremely messy......LOL!!!
