If one of the roots of the equation $2z^3 - 3z^2 + 2z + p = 0$ is $1 - i$, where $p$ is a

Question

If one of the roots of the equation $2z^3 - 3z^2 + 2z + p = 0$ is $1 - i$, where $p$ is a real number. Find the value of $p$, and the other two roots of the equation.

Accepted Answer

$p=2$; the other roots are $1+i$ and $-\frac12$.

Roots of a polynomial equation

Roots of a polynomial equation

Solution:

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