Write a code in C++:  Write a program to factor a polynomial of the form x² + bx + c, where b and c are integers AND also modify the program so that it can also factor polynomials of the form ax2 + bx + c , where a, b, and c are integers. For example, the polynomial  "- 2x² - 3x + 2" can be factored as: "- 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)". The output at the end should be this exact quote: "- 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)"

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
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Write a code in C++: 

Write a program to factor a polynomial of the form x² + bx + c, where b and c are integers AND also modify the program so that it can also factor polynomials of the form ax2 + bx + c , where ab, and c are integers. For example, the polynomial  "- 2x² - 3x + 2" can be factored as: "- 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)". The output at the end should be this exact quote: "- 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)"

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