# Summary

• A complex z is of the form a + ib where a and b are real and
• If
• In general,
• Conjugate of a complex number z = a + ib is
• z = r(cos Î¸ + isin Î¸ ) is the polar form of a complex number, where and Î¸ is the argument of z.
• A polynomial equation p(x) = 0 of degree n, has n roots.
• The complex roots of a polynomial equation always occur as a conjugate pair.
• The reciprocal of a complex number z is the same as its conjugate
• The solutions of quadratic equation