Solve Polynomial Problem: (4x^3 - 8x^3 + 7x - 2)

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Discussion Overview

The discussion revolves around resolving a polynomial division problem involving the expression (4x^3 - 8x^3 + 7x - 2) divided by (2x^2 - 3x + 2). Participants explore methods for polynomial division and address potential typographical errors in the problem statement.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant asks for help in resolving the polynomial division problem.
  • Another suggests using polynomial division techniques and mentions the division algorithm as a method involving repeated subtraction.
  • Some participants point out a possible typo in the numerator, suggesting that the second term should have an exponent of 2, which could affect the solution.
  • One participant agrees with the correction regarding the typo and states that their answer aligns with another participant's, assuming the correction is valid.

Areas of Agreement / Disagreement

There is no consensus on the correct interpretation of the polynomial due to the identified potential typo, leading to differing views on the solution.

Contextual Notes

The discussion is limited by the uncertainty surrounding the correct form of the polynomial in the numerator, which may affect the division process and the resulting answer.

chmate
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Hi there, can anyone tell me how to resolve this problem?

(4x^3 - 8x^3 + 7x - 2) : (2x^2 - 3x + 2)

Thnx
 
Last edited:
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By using the techniques in polynomial division, mayhap?
In particular, remember that the division algorithm can be regarded as an instance of repeated subtraction..
 
Last edited:
(4x^3 - 8x^3 + 7x - 2) : (2x^2 - 3x + 2)

It looks like there is a typo - the second term in the numerator should have an exponent of 2? Is so, answer looks like 2x-1.
 
mathman said:
It looks like there is a typo - the second term in the numerator should have an exponent of 2? Is so, answer looks like 2x-1.
Assuming the second term should be 8x2, my answer agrees with yours mathman (I equated the coefficients)
 
Thank you guys, it's good to meet good mathematicans :)
 

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