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17 July, 07:22

Use synthetic division to solve (x4 - 1) : (x - 1). What is the quotient?

x³ - x²+x-1



x³+x²+x+1

x³-2

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Answers (1)
  1. 17 July, 10:08
    0
    (x^4-1) / (x-1)

    = (x^2-1) (x^2+1) / (x-1)

    = (x-1) (x+1) (x^2+1) / (x-1)

    = (x+1) (x^2+1)

    =x^3+x^2+x+1
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