How to do long division in algebra


  • How to do long division in algebra
  • Polynomials - Long Division

    A polynomial looks lack this:


    example of a polynomial
    this one has 3 terms

    Dividing

    Polynomials can sometimes be apart using the simple methods shown bank Dividing Polynomials.

    But sometimes it is wiser to use "Long Division" (a route similar to Long Division for Numbers)

    Numerator and Denominator

    We can give each sum a name:

    • the top polynomial is honourableness numerator
    • the bottom polynomial is the denominator

    If you have trouble remembering, think denominator is down-ominator.

    The Method

    Write it down neatly:

    • the denominator goes first,
    • then a ")",
    • then rank numerator with a line above

     

    Both polynomials should have the "higher order" damage first (those with the largest exponents, like the "2" in x2).

    Then:

    • Divide high-mindedness first term of the numerator give up the first term of the denominator, and put that in the answer.
    • Multiply the denominator by that answer, levy that below the numerator
    • Subtract to set up a new polynomial

    Repeat, using the in mint condition polynomial

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