While x^4 + 4 cannot be factored using any of the identities we have learnt so far, we can apply a neat trick to factorize it. The trick is to add and subtract the same quantity, 4x^2 , which makes the expression x^4 + 4x^2 + 4 − 4x^2. (a) Explain why this is the same expression is the original one, and (b) complete the factorization and explain the steps.
While x^4 + 4 cannot be factored using any of the identities we have learnt so far, we can apply a neat trick to factorize it. The trick is to add and subtract the same quantity, 4x^2 , which makes the expression x^4 + 4x^2 + 4 − 4x^2. (a) Explain why this is the same expression is the original one, and (b) complete the factorization and explain the steps.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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While x^4 + 4 cannot be factored using any of the identities we have learnt so
far, we can apply a neat trick to factorize it. The trick is to add and subtract
the same quantity, 4x^2 , which makes the expression x^4 + 4x^2 + 4 − 4x^2. (a)
Explain why this is the same expression is the original one, and (b) complete
the factorization and explain the steps.
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