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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)

 Apr 7, 2020
 #1
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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!!!

 

 

 

 

cool cool cool

 Apr 7, 2020

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