How do you find all the zeros of #P(x) = 6x^3 − 13x^2 + 14x − 2# with 1+i as a root?
All the zeros of the given polynomial
Let us remember that the complex roots occur in conjugate pairs. Now one such root is given to be
Let the 3rd root be
Now, by Vieta's Rule,
From the 1st equation (eqn.), we get
We verify that this value of
Hence the roots