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Multiplier par x - a

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  • 30-04-2003 2:42pm
    #1
    simon_partridge
    Closed Accounts Posts: 182 ✭✭


    Anyone know if the following is (a) grammatically or (b) mathematically correct? Cheers.

    Le premier terme du quotient a pour coefficient le coefficient du premier terme du dividend.

    Un terme quelquonque du quotient a pour coefficient le terme précédent du quotient, multiplié par a, auquel on ajoute algèbréiquement le terme correspondant du dividend.


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    #2
    lili
    Closed Accounts Posts: 990 ✭✭✭lili


    well,
    first sentence, correct, first terms are the same for quotient and dividende.

    for the second sentence, i must admit have got prob to explain it in english. but seems logical too:)


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    #3
    simon_partridge
    Closed Accounts Posts: 182 ✭✭simon_partridge


    Well I think the principle is that if you multiply a polynomial by (x-a) then the nth power term of the answer is always made by subtractring the nth power term of the polynomial, multiplied by a, from the (n-1)th power term. Hence in reversing the procedure you can work your way along the dividend with each term you work out leaving just one unknown for the next.


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