Question

Factoring Polynomials $$x^{4}-256$$

Name: Problem 35, Chapter 6: Beginning and Intermediate Algebra
Uploaded: 2021-03-27T20:24:34-08:00
Duration: 1 min 12 s
Channel: Prashansha Kaushik
Description: Factoring Polynomials x^4-256

   Factoring Polynomials
$$x^{4}-256$$

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 6, Problem 35

Instant Answer

Solved by Expert Prashansha Kaushik

03/27/2021

Step 1

We can rewrite it as $(x^{2})^{2} - 16^{2}$. Show more…

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Factoring Polynomials $$x^{4}-256$$

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Key Concepts

Recursive Factorization

After applying an initial factorization step, some factors may themselves be reducible using the same or other factoring techniques. Recursive factorization is the process of repeatedly applying these methods until the expression is broken down into its simplest components.

Difference of Squares

This is an algebraic identity where any expression in the form a² - b² can be factored into (a - b)(a + b). Recognizing this structure allows for immediate factorization, simplifying polynomial expressions and paving the way for further algebraic manipulation.

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