Question

what is a quadratic function in the form of y = ax2 + bx + c that would have the given roots?

1. x = 2i and x = –2i
2. x =3 + i and x = 3 – i

Answer 1

\[\LARGE x^2+px+q=0\]
\[\LARGE x_1+x_2=-p \]
\[\LARGE x_1\cdot x_2=q \]

Answer 2

expand and simplify

(x - 2i)(x+2i) = 0

(x-(3+i))(x -(3-i))=0