Question

A quadratic equation with real coefficients and leading coefficient 1, has x equals - b ⁢ i as a root. Write the equation in general form.

Answer 1

p(x) = 1x^2 + bx + c

If -bi is a root, then +bi is the other root.

Thus, p(x) = (x+bi)(x-bi) = 1x^2 + b^2