Consider a polynomial p(x) defined as p(x) = II (qx + 1) = (x + 1)(2x + 1)(3x + 1)... (Nx + 1), where N is a strictly positive integer. Write a function named 'polynomial_with_roots()', which takes 2 input arguments: • a strictly positive integer 'N', . a positive integer 'm' such that 0 ≤ m ≤N, and returns the power series coefficient am, as an integer, where p(x) = ax. Hint: You will need to be careful and e.g. make use of integer arithmetic throughout (even avoiding use of NumPy integer arrays -- use lists instead!) in order to avoid problems with numerical roundoff and overflow which will otherwise be encountered for larger 'N'. For example: Test print (polynomial_with_roots (40, 40)) print (polynomial_with_roots (2, 0)) 1 print (polynomial_with_roots (2, 1)) 3 print (polynomial_with_roots(2, 2)) 2 Result 815915283247897734345611269596115894272000000000 2-def 1def polynomial_with_roots(N, m): # Add code here
Consider a polynomial p(x) defined as p(x) = II (qx + 1) = (x + 1)(2x + 1)(3x + 1)... (Nx + 1), where N is a strictly positive integer. Write a function named 'polynomial_with_roots()', which takes 2 input arguments: • a strictly positive integer 'N', . a positive integer 'm' such that 0 ≤ m ≤N, and returns the power series coefficient am, as an integer, where p(x) = ax. Hint: You will need to be careful and e.g. make use of integer arithmetic throughout (even avoiding use of NumPy integer arrays -- use lists instead!) in order to avoid problems with numerical roundoff and overflow which will otherwise be encountered for larger 'N'. For example: Test print (polynomial_with_roots (40, 40)) print (polynomial_with_roots (2, 0)) 1 print (polynomial_with_roots (2, 1)) 3 print (polynomial_with_roots(2, 2)) 2 Result 815915283247897734345611269596115894272000000000 2-def 1def polynomial_with_roots(N, m): # Add code here
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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