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Polynomial Implementation (ADT Implementation Using Linked Structures) Snimalary oporations in that interface. It arout also have a zero-abeuacents contructos, (The sefrait constrector myy be nuitible

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Polynomial Implementation (ADT Implementation Using Linked Structures) Snimalary oporations in that interface. It arout also have a zero-abeuacents contructos, (The sefrait constrector myy be nuitible ) D) clilis I have provided yoa with an interface for a Polynemial data type. It ceatains only sone batic methods ino methods fer mathraiaseal operations on full Polyaomialu, for ecti you with a sample cliciat program. You SHOU.D NOT modify those files. L asstume you are familiar with polynominls, but 1 have provided some infermation in the Polynomaial javaloc: head [][0,25]{1,02]x[3,51]{2. s|e|/ where the "s repteseat references asud the / repreients a wull nefecesce That's a recomimendation, which mesm you don 7 have fo do it that way: The method tiveerew should be wey easy. fon might not need to add ir constructor to your class, but if you de make tiie you have a no-agenever coutroctor. The method wetoearee should be ivry oasy The methods avaluateAt and ant coeff ic ient whould be pretty easy. The asd ind tostring methods will be somerwhat barder. I recomemend you start wihh a partial implementation of aba that just places the given ferma at die fioit ef tie liat of tenmi. tostring and get that priatieg each fong the way yoe want it pribted The output will not be cutirely the way it needs to be, bur each term pribted ahould be OK. For erample: you might see (xn2+3.9x45+(3.1x4)+0.2xn5+x2+3.5x+2.0 After yourve got tostrane working as yoa want, you cai thea move on to aiakiag asa behave properhy. BONUS POINTS for replacing + signs with - signs and integer cocfficients without decimal point. For example, prietimg 0.2x5x2+3.5x+20 as : 0.2x5+x223.5x+2 Be careful that you doat mess up the fint term. which has no t sign in front of it to be changed. Thus we shoudd not see 0.2x5+3.5x as 0.2053.5x

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