SOLUTION: one factor of 3x^3+2x^2+x-6 is x-1 what is the other factor

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Question 406073: one factor of 3x^3+2x^2+x-6 is x-1
what is the other factor
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

      3x^2 + 5x +6

      _______________________

x -1 | 3x^3+2x^2+x-6



(x-1)(3x^2 + 5x +6)

     (3x^2 + 5x +6)

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-5+%2B-+sqrt%28-47+%29%29%2F%286%29+

x+=+%28-5+%2B-+i%2Asqrt%2847+%29%29%2F%286%29+

that is the other two factors are

( x -[%28-5+%2Bi%2Asqrt%2847+%29%29%2F%286%29+]) and ( x -[%28-5+-+i%2Asqrt%2847+%29%29%2F%286%29+])