Help with Long division of functions

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SUMMARY

The discussion focuses on the long division of functions, specifically the division of the polynomial x4 + 3x2 + 1 by x2 - 2x + 3. Participants emphasize the importance of arranging the dividend in standard form, which is x4 + 0x3 + 3x2 + 0x + 1, before beginning the division process. The initial step involves determining the quotient of x4 divided by x2, which sets the stage for subsequent multiplication and subtraction steps typical in polynomial long division.

PREREQUISITES
  • Understanding of polynomial functions
  • Familiarity with polynomial long division
  • Knowledge of standard form for polynomials
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the process of polynomial long division in detail
  • Practice additional examples of dividing polynomials
  • Learn about synthetic division as an alternative method
  • Explore the applications of polynomial division in calculus
USEFUL FOR

Students in intermediate algebra or college algebra, educators teaching polynomial division, and anyone seeking to improve their understanding of algebraic functions and division techniques.

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Can anyone explain the correct way to do that type of long division with functions?

If you don't get what i mean an example would be like

x4+3x2+1 / x2-2x+3
 
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austin1250 said:
Can anyone explain the correct way to do that type of long division with functions?

If you don't get what i mean an example would be like

x4+3x2+1 / x2-2x+3

Check on the process in either your intermediate algebra book or your college algebra book. You first want to arrange each polynomial into more full general form:

x4+0x3+3x2+0x+1 for the dividend,
and x2-2x+3 unchanged for the divisor.

Start the steps by asking what is the quotient of x4 divided by x2 ? This will be the first part of your quotient; then you perform your multiplication typically done in your usual process that you were taught back when you studied long division in elementary school and middle school. Can you continue from here?
 

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