P.S. I did it on paperPolynomial Division: 3x^3-5x^2+10x+4 / 3x+1

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SUMMARY

The discussion focuses on performing polynomial long division for the expression \(3x^3 - 5x^2 + 10x + 4\) divided by \(3x + 1\). The correct quotient derived from the division is \(x^2 - 2x + 4\). Participants clarified the relationship between division and multiplication, confirming that if \(A / B = C\), then \(A = B \cdot C\). The solution was confirmed through collaborative discussion and correction of initial misunderstandings.

PREREQUISITES
  • Understanding of polynomial long division
  • Familiarity with algebraic expressions
  • Basic knowledge of quotient and remainder concepts
  • Ability to manipulate polynomial equations
NEXT STEPS
  • Practice polynomial long division with different polynomial degrees
  • Explore synthetic division as an alternative method
  • Learn about the Remainder Theorem and its applications
  • Study the relationship between polynomial roots and factors
USEFUL FOR

Students studying algebra, mathematics educators, and anyone seeking to improve their skills in polynomial division and algebraic manipulation.

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Homework Statement


Use polynomial long division to determine the quotient when

[itex]3x^3-5x^2+10x+4[/itex] divided by [itex]3x+1[/itex]

The Attempt at a Solution



Please see attachment as I wasn't quite sure how to write my answer here
:shy:
 

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If A / B = C, then does that mean that A * C = B? That's what you have written at the bottom.
 
SteamKing said:
If A / B = C, then does that mean that A * C = B? That's what you have written at the bottom.

Oops should be

3x^3+5x^2+10x+4/3x+1=x^2-2x+4

I think..
 

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