What is the greatest common factor of two polynomials?

Question:

What is the greatest common factor of two polynomials?

Factoring Polynomials:

There are some methods to factorize polynomials, such as:

1. Taking out the largest common factors

2. Grouping the same factors

3. Special forms of polynomials,

{eq}\quad (a^2 - b^2) = (a + b)(a-b) \\ \quad (a^3 - b^3) = (a - b)(a^2 + ab + b^2) \\ \quad (a^3 + b^3) = (a - b)(a^2 - ab + b^2) \\ {/eq}

4. Factoring polynomials wity descending order.

We can apply one of them or combine them.

Answer and Explanation:

Let we have two polynomials and we can factor them.

Then, the common factor of these two polynomials is the same factor that belongs to both...

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How to Find the Greatest Common Factor

from Math 102: College Mathematics

Chapter 1 / Lesson 3
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