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

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SUMMARY

The polynomial division problem presented involves dividing the polynomial (4x^3 - 8x^3 + 7x - 2) by (2x^2 - 3x + 2). The correct interpretation of the numerator is crucial, as a typo regarding the exponent of the second term significantly alters the outcome. Assuming the numerator is corrected to (4x^3 - 8x^2 + 7x - 2), the solution simplifies to 2x - 1. This conclusion is reached through the application of polynomial division techniques and coefficient comparison.

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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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