# Application of Complex Numbers in Polar Form

**Tommy Jungwoo JangDaegu International Schoo**

**l**

#### Abstract

A quadratic function has different forms with its own benefits based on different situations—the

standard form easily yields the y-intercept, the vertex form easily yields the vertex, and the factored form

easily yields the x-intercepts. Likewise, a complex number can be expressed in different forms that are

useful for different situations. It is easy to add or subtract two or more complex numbers in standard

form, while it is easy to multiply or divide two or more complex numbers in polar form. The first section

of this paper explores one of the different forms of complex numbers–the polar form. Then, the next

section applies the polar form to find monic factor-square property (FSP) polynomials of different

degrees