SOLUTION: if the equation x^4+ax^2+bx+c=0 has roots 1,2,and 3 Find c

Question 382688: if the equation x^4+ax^2+bx+c=0 has roots 1,2,and 3 Find c
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The polynomial becomes
, where r is the fourth root. By Vieta's formulas, the sum of all roots of a polynomial is -b/a. Since the coefficient is zero, the sum of all four roots is zero, so it follows that r = -6.
The polynomial is now . The constant term c is just (-1)(-2)(-3)(6) = -36.
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