In the module Polynomial a template class Polynom<T> is declared. The class provides following operations with polynomials and numbers:

• Add (+), subtract (-), multiply (*), divide with remainder (/) and get remainder (%);
• Comparaison (==, !=);
• Print a polynomial (<<);
• Calculate value of a polynomial in the given point (());
• Get a coefficient of a polynomial ([]). The coefficient is returned by reference and can be changed.

The class provides following methods:

• .degree()
  Return a degree of a polynomial.
• .coef_to_str()
  Return a string, contains coefficients of a polynomial.
• .to_str(const string var_name = "x")
  Return a string representation of a polynomial with the given variable name.
• .max_coef()
  Return the maximal coefficient of a polynomial.

There are following functions with polynomials:

• Polynom<T> pw(Polynom<T> const& p, unsigned n)
  Return the n-th power of a polynomial.
• Polynom<T> deriv(Polynom<T> const& p, unsigned n = 1)
  Return the n-th derivative of a polynomial.
• Polynom<T> integr(Polynom<T> const& p)
  Return an integral of a polynomial.
• long double integr(Polynom<T> const& p, long double l, long double r)
  Return an integral of a polynomial calculated from a to b.
• T max_deriv_coef(Polynom<T> const& p1, Polynom<T> const& p2)
  Return the maximal derivative coefficient of two polynomials.