Find coefficients to a quadratic equation knowing roots and a point... Given a standard quadratic equation:
$$p(z) = az^2 + bz + c$$
We know that $-10$ and $10-i$ are roots.
We know that $p(i)=-10$
What are $a$, $b$ and $c$?

Try $p(z)=a(z-i)(z-10+i)$
Multiply and find coefficients using the information at $z=i$
