Write a declaration for a polynomial class

Question

Discussion:

Q: A polynomial of degree n has the form

a₀=a₁x=a₂x²=.....a_nx_n

Where are numeric constants called the coefficients of the polynomial and #0.

Q1. Write a declaration for a Polynomial class whose data members are an integer for the degree and an array for the list of coefficients and with basic operations of input and output.

Q2. Implement the input operation in Question 1

Q3. Implement the output operation in Question 1. Display the polynomial in the usual mathematical format with displayed as x^n.

Q4. Add an evaluate operation to your Polynomial class that allows the user to enter a value for x and that calculates the value of the polynomial for that value.

Q5. Add an addition operation to your Polynomial class.

Q6. Add a multiplication operation to you Polynomial class.