Question

Find a quadratic equation with roots –1 + 4i and –1 – 4i.

Answer 1

equation in factored form will give you the roots:
\[x_1 = -1+4i\]
\[x_2 = -1-4i\]
\[(x-x_1)(x-x_2) = 0\]

substitute the values of x into the equation and expand