shows how to write a program to factor a polynomial of the form x² + bx + c, where b and c are integers. Modify the program so that it can also factor polynomials of the form ax2 + bx + c , where a, b, and c are integers. Note that the polynomial _ - 2x² - 3x + 2_ can be factored as: _ - 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)_.
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Example 6-16 shows how to write a program to factor a polynomial of the form x² + bx + c, where b and c are integers. Modify the program so that it can also factor polynomials of the form ax2 + bx + c , where a, b, and c are integers. Note that the polynomial _ - 2x² - 3x + 2_ can be factored as: _ - 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)_.
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- Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1Write a program function (in any programming language) that will find and add 3 digitsodd numbers which are in the range from 1 to the first five digits of your student ID and thendivide the summation by the rest of the digits in your student ID. Find the CyclomaticThe complexity of the code segment and show the different basic paths for test cases.Draw a flowchart for the Frazzle function.Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1Given the recursive function below where n is an integer: if n = 0 or n = 1 or n = 2 f(n) = {f(n – 2) + f(n – 4) otherwise Which of the following statements is true? IMPORTANT: There is no "Check" button for this question. You can change the answer as many times as you like. Select one: O a. The function terminates if and only if n is 1 or even. O b. The function terminates if and only if n24. O . The function terminates if and only if n=1 or n is even and greater or equal to 0. O d. The function terminates if and only if n is 0, 1 or 2. O e. The function terminates if and only if n20.The topic is Fixed - point iteration method from Numerical Methods.Task:Create a program that uses C language that solves the function below:f(x) = 3x = ex The program should be able to ask the user for the initialization and check it.Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1using py3.Prime NumbersIn this task, you will implement a program that takes as input a number n and produces alist of integers less than or equal to n that are prime. The way to think about a problem isto break it down into individual parts. Start by creating a function isPrime() that checkswhether it’s argument is prime or not. The pseudocode for checking isPrime is givenbelow, there are better ways to do it… this is just one.6Step 1: count = 2Step 2: while count < numberStep 3: if count divides the number evenly return falseStep 4: add 1 to countStep 5: Goto step 2Step 6: return trueWrite a python program with the following functions:1. the function factorial_loop(num) that takes an integer num and returns the value of the factorial of num written as num!, where num! = num * (num-1) * (num-2) * … * 2 * 1. This function must use a loop (iteration) to compute the value of num!.2. the function factorial_recursive(num) that takes an integer num and returns the value of the factorial of num (i.e., num!) as defined above. This function must use a recursive algorithm to compute the value of num!.Multi-Jolly Jumper A sequence of n>0 integers is called a jolly jumper if the absolute values of the differences between successive elements are in ascending or descending order. For instance, 1423 is a jolly jumper, because the absolute differences are in descending order 3, 2, and 1, respectively. The definition implies that any sequence of a single integer is a jolly jumper. Write a program to determine whether each of a number of sequences is a jolly jumper. Another example: 13610 Is a jolly jumper, because the absolute differences are in ascending order: 2,3, and 4 Input Each line of input contains an integer n<3,000 followed by n integers representing the sequence. Output For each line of input generate a line of output saying "Jolly" or "Not jolly". Input Each line of input contains an integer n<3,000 followed by n integers representing the sequence. Output For each line of input generate a line of output saying "Jolly" or "Not jolly". If Jolly, indicate if it is in ascending or…please code in python Write a recursive function to add a positive integer b to another number a, add(a, b), where only the unit 1 can be added, For example add(5, 9) will return 14. The pseudocode is: # Base case: if b is 1, you can just return a + 1 # General case: otherwise, return the sum of 1 and what is returned by adding a and b - 1.SEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
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