Goal: Implement a Polynomial class.

Purpose: classes, formatted strings, dictionary comprehension, magic methods

Details: The class represents the nonzero coefficients using a dictionary. For example, p(x) = 3:5x 27x 0 , has the dictionary {0:-7, 2:3.5} because only the constant and quadratic terms are present. Similarly, q(x) = 2x 3 + 5x 1 has dictionary {1:5, 3:2}. This way, (p + q)(x) evaluates to {0:-7, 1:5, 2:3.5, 3:2} and (p q)(x) = 7x 5 + 3:5x 3 35x becomes {1:-35, 3:3.5, 5:7}

PLEASE HELP WITH IN PYTHON:

4. Scalar multiplication and division by a scalar, e.g. 3p(x) or p(x)/2; addition and subtraction by a scalar, e.g. 1+ p(x) or p(x) 2.1