Your focus in this assignment will on the implementation of the Polynomial class in files polynomial.h and polynomial.cpp$.$ This class stores the set of coefficients that define a polynomial $($e$.$g$.,1+2$x$+4$x$^3).$

Although the immediate use of Polynomial is in support of this polyfactor program, we anticipate the possibility that Polynomial may be reused in other future projects, so we want to make sure that it is designed and implemented to facilitate that reuse.

You must not change the private data members in polynomial.h$.($You may, if you wish, add additional private function members if doing so would aid you in completing the implementation.$)$

You may need to change some of the public functions in polynomial.h$,$ but keep in mind that the Polynomial class must continue to compile with the other code in this program.

Your code will be evaluated both on its ability to function correctly within the polyfactor application $($the systems tests$)$ and on its ability to pass the various unit tests provided.

Attached is polynomial.h #ifndef POLYNOMIAL$\_$H

#define POLYNOMIAL$\_$H

#include

#include

#include "term.h$"$

$/**$

This class implements a polynomial of the form

c$0+$ c$1$ x $+$ c$2$ x$^2+$ c$3$ x$^3+...$

$*/$

class Polynomial $\{$

public:

Polynomial$()$;

Polynomial $($int b$,$ int a $=0)$;

Polynomial $($Term term$)$;

Polynomial $($int nCoeff, int coeff$[])$;

int getCoeff$($int power$)$ const;

int getDegree$()$ const;

Polynomial operator$+($const Polynomial& p$)$ const;

Polynomial operator$*($int scale$)$ const;

Polynomial operator$*($Term term$)$ const;

void operator$*=($int scale$)$; Polynomial operator$/($const Polynomial& p$)$ const;

private: