Using remainder factor theorem

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    Remainder Theorem
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SUMMARY

The discussion focuses on the application of the Remainder Factor Theorem in polynomial division, specifically using the polynomial p(x) = (x-1)^114 divided by (2^114)(x+1). The user initially sought a method to simplify the division without resorting to long division, indicating that tools like Wolfram Alpha provided overly complex outputs. Ultimately, the user confirmed they found a solution independently.

PREREQUISITES
  • Understanding of polynomial functions and their properties
  • Familiarity with the Remainder Factor Theorem
  • Basic knowledge of polynomial long division
  • Experience with computational tools like Wolfram Alpha
NEXT STEPS
  • Study the Remainder Factor Theorem in detail
  • Learn advanced polynomial division techniques
  • Explore computational tools for polynomial simplification
  • Investigate alternative methods for polynomial factorization
USEFUL FOR

Students studying algebra, mathematics educators, and anyone looking to deepen their understanding of polynomial division and the Remainder Factor Theorem.

Terrell
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1. Homework Statement
i attached the problem statement as an image file

Homework Equations


p(x) = (x-c)q(x) + r

The Attempt at a Solution


i've simplified it down to ((x-1)^114) / (2^114)(x+1). is there a practical way to approach this besides long division? wolfram alpha gave an extremely long answer
 

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nevermind. i found it
 

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