Modular arirhmetic, aka arithmetic of clock, is a branch of mathematics studying remainders in division. Although it may seem unnecessary, it’s the central part of most bank or e-mail login systems and is a key idea of checksums that allow to find errors in long numbers, such as ISBN. Palindromes are words that are the same when read backwards. In antiquity used as spells, recently were discovered to take part in self-organisation of DNA. Continuous function is one that can has no jumps or holes. It is a key concept in topology, branch of mathematics concerned with shapes and their deformations, commonly known as science that cannot differentiate between a mug and a doughnut. I connected these three ideas. I used them to locate roots of a certain family of polynomials on the complex plane.