Application of Complex Numbers in Polar Form

Tommy Jungwoo Jang
Daegu International School

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

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