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.

keep in mind that grammar, spelling, and style will be considered in assessing your work.

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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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