The evolving landscape that makes up modern mathematical competitions has exposed contestants to polynomials more than ever before. Recently, almost all advanced mathematical competitions have at least one problem on polynomials. Despite this rising importance, only a few problem books bring attention to this topic. Thus, the vast universe that polynomials encapsulates should be more thoroughly investigated. This book casts light on the topic of polynomials from numerous angels. The authors present important theoretical facts in harmony with their showcased applications. There are 8 chapters, 252 solved examples, 105 end of chapter problems, all with detailed solutions, as well as 77 additional problems that further enhance the books' exposition.