SOLUTION: find all of the roots for the equation: {{{x^4-x^3-5x^2-x-6}}}

Question 4241: find all of the roots for the equation:

Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
Let
Use synthetic division
Try -1,+1 (fail) [factors of -6]
1 -1 -5 -1 -6 (-2
-2 +6 -2 +6
----------------
1 -3 +1 -3 0
So, x+2 is a factor of f(x) and we have
Clearly,
Hence,
The four roots are -2, 3 ,i and -i
Kenny

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