SOLUTION: How do I solve this, I'm very confused... x^3-3x^2+6x+10=0

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Question 983343: How do I solve this, I'm very confused...
x^3-3x^2+6x+10=0

Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
Rational Roots Theorem; synthetic division trying roots -1,-2,-5,1,2,5; maybe +10 or -10.


-1   |   1   -3   6   10
     |       -1   4   -10
     _____________________
         1   -4   10   0 --------  is a (real) root.

Now use quadratic equation skills to get the two other roots.



-----comes from the quotient of the previous synthetic division.









-----these are the two complex roots.

FINISHED.
Degree of equation is three; so only three roots.

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