Complete in C$++.$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$3$

$1$

$+$

$2$

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.