C++ How to Program (10th Edition)
C++ How to Program (10th Edition)
10th Edition
ISBN: 9780134448237
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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(Polynomial Class) Develop class Polynomial. The internal representation of a Polynomialis an array of terms. Each term contains a coefficient and an exponent, e.g., the term2x4has the coefficient 2 and the exponent 4. Develop a complete class containing proper constructorand destructor functions as well as set and get functions. The class should also provide the followingoverloaded operator capabilities:a) Overload the addition operator (+) to add two Polynomials.b) Overload the subtraction operator (-) to subtract two Polynomials.c) Overload the assignment operator to assign one Polynomial to another.d) Overload the multiplication operator (*) to multiply two Polynomials.e) Overload the addition assignment operator (+=), subtraction assignment operator (-=),and multiplication assignment operator (*=).
(Use BigInteger for the Rational class) Redesign and implement the Ratio-nal class in Listing 13.13 using BigInteger for the numerator and denomina-tor. Write a test program that prompts the user to enter two rational  numbers and display the results as shown in the following sample run: Enter the first rational number: 3 454Enter the second rational number: 7 2389 3/454 + 7/2389 = 10345/10846063/454 – 7/2389 = 3989/10846063/454 * 7/2389 = 21/10846063/454 / 7/2389 = 7167/31787/2389 is 0.0029300962745918793
(Enhancing Class Rectangle) Create a more sophisticated Rectangle class than the one youcreated in Exercise 17.11. This class stores only the Cartesian coordinates of the four corners of therectangle. The constructor calls a set function that accepts four sets of coordinates and verifies thateach of these is in the first quadrant with no single x- or y-coordinate larger than 20.0. The set function also verifies that the supplied coordinates do, in fact, specify a rectangle. Provide member functions that calculate the length, width, perimeter and area. The length is the larger of the twodimensions. Include a predicate function square that determines whether the rectangle is a square
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