We want to manipulate polynomials in C++. A polynomial is a sequence of terms. a term is a pair (exponent, coefficient) where the exponent is a non-negative integer and the coefficient is a double-precision number. For example, we want to handle the polynomial:
5.3 x^3 – 1.2 x + 123.5
a) Write a class definition for a term. A single constructor is sufficient.
b) Write a class definition for a polynomial. Given that polynomials have an arbitrary size, the proper implementation is by means of a linked list, i.e. each term has a pointer to the next term.
c) Write a constructor for a polynomial, whose input is a term.
d) Write operators that add a term to a polynomial, and that multiply a term and a polynomial.
e) Write an operator that adds two polynomials.
f) Write a destructor for the polynomial class.
g) Write an output routine for polynomials, overloading the << operator. Assume that the name of the variable is X.
Test your code using any C++ compiler.You can:
Use g++ on omicron or any other unix machine at NYU, or
use Borland C++ on a machine in one of the PC labs, or
use gcc for your Windows95/98/NT/2000 or Linux machine at home.
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