In the above discussion, a method is developed for factoring a polynomial of the form x2 + bx + c, where b and c are integers. Extend this idea, and develop a method for factoring a polynomial of the form ax2 + bx + c, where all of the coefficients (a, b, and c) are integers.

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
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Question 11. In the above discussion, a method is developed for factoring a polynomial of the form

x2 + bx + c,

where b and c are integers. Extend this idea, and develop a method for factoring a
polynomial of the form

ax2 + bx + c,

where all of the coefficients (a, b, and c) are integers.

Write up your response to this question.

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Step 1

Introduction

Factoring polynomials is a process of breaking a polynomial into a product of smaller polynomials with degree one or two. It involves finding all the factors of a polynomial, including the ones which do not have real roots. The primary method of factoring a polynomial is to use the factoring method of grouping. To do this, you must consider all the terms in the polynomial and group them in pairs that have a common factor. Then, break these pairs into a product of two smaller polynomials

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