SOLUTION: Is there a faster method to factorise the equation x^3 - 2(1+i)x^2 + 3ix + (1-i) = 0, I used the factor theorem to find one factor then long division to find the others, however i
Question 1027086: Is there a faster method to factorise the equation x^3 - 2(1+i)x^2 + 3ix + (1-i) = 0, I used the factor theorem to find one factor then long division to find the others, however it was a very long process so I was wondering if there is a quicker method? Thanks Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! A little guesswork gives x = 1 is a solution to the equation. Upon using synthetic division to find the quotient after dividing by x-1, you get .
Using the quadratic formula directly on the last quadratic equation gives the solutions i and 1+i.
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