How to factorize x^4 + x^3 + 2.01 x^2 + 0.01 x + 0.01 = 0?

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  • Thread starter Thread starter logix88
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Discussion Overview

The discussion revolves around the factorization of the polynomial equation x^4 + x^3 + 2.01 x^2 + 0.01 x + 0.01 = 0. Participants are seeking assistance in expressing this polynomial in the form of (x^2 + x + const) * (x^2 + x + const), particularly in light of an upcoming exam.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant expresses a need to factor the polynomial into the specified format and suggests a potential factorization of (x^2 + x + 2) * (x^2 + 0.0025x + 0.005).
  • Another participant challenges this proposed factorization, noting that it results in a polynomial starting with x^4 + 1.0025x^3, which does not match the original polynomial's x^3 coefficient.
  • A subsequent reply reiterates the concern about the proposed factorization not conforming to the desired format, emphasizing that it is not in the (x^2 + x + const) * (x^2 + x + const) structure.

Areas of Agreement / Disagreement

Participants do not appear to agree on the validity of the proposed factorization, with multiple viewpoints expressed regarding its correctness and adherence to the specified format.

Contextual Notes

The discussion highlights potential misunderstandings regarding the requirements for factorization and the implications of decimal precision in the proposed factors.

logix88
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I need to get this into (x^2+ x + const) * (x^2+ x + const) format, the answer for this equation is (x^2+x+2)*(x^2+0.0025x+0.005)... I don't know how to get there, NEED HELP EXAM DAY AFTER!
 
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Hi logix88! :smile:

(try using the X2 tag just above the Reply box :wink:)
logix88 said:
I need to get this into (x^2+ x + const) * (x^2+ x + const) format, the answer for this equation is (x^2+x+2)*(x^2+0.0025x+0.005)... I don't know how to get there, NEED HELP EXAM DAY AFTER!

I don't get it :redface: …

(x2+x+2)*(x2+0.0025x+0.005) quite obviously starts x4 + 1.0025x3 + … , not x4 + x3 + …
 
tiny-tim said:
Hi logix88! :smile:

(try using the X2 tag just above the Reply box :wink:)


I don't get it :redface: …

(x2+x+2)*(x2+0.0025x+0.005) quite obviously starts x4 + 1.0025x3 + … , not x4 + x3 + …


it is correct to 2dp (decimal places)
 
(x^2+x+2)*(x^2+0.0025x+0.005) is also clearly not in (x^2+ x + const) * (x^2+ x + const) format.
 

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