Programming assignment: polynomial manipulation Due: Wednesday Feb. 16 The purpose of this assignment is to implement a rudimentary symbolic calculator to compute with polynomials. The program takes polynomials in a single variable, of the form: 2 n P1 = a0 + a1.x + a2.x .. + an.x and performs algebraic operations on them. The coefficients ai are integers (although this may change in the future). Internally, polynomials are represented as lists of coefficients. Only non-zero coefficients are kept in the internal representation, so that the 10th-degree polynomial 10 5 -10 x has only two terms. The program is interactive. It prompts the user for two polynomials. The input for a given polynomial is a list of coefficients, in a single line, for example: 1 -2 0 0 15 The program echoes the input in some readable fashion, for example: 4 1 -2x + 15 x and asks the user for confirmation (a simple Y/N aswer). After both polynomials are entered, the program displays the sum and the product of both polynomials, and asks for further input. The output is always presented in order, lowest term first. Each term must have a distinct exponent.