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17 November, 07:12

Use synthetic division to solve (x^4 - 1) : (x - 1). What is the quotient

a. x^3-x^2+x-1

b. x^3

c. x^3+x^2+x+1

d. x^3-2

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Answers (1)
  1. 17 November, 07:23
    0
    Hello,

    x^4-1 = (x²-1) (x²+1) = (x²+1) (x-1) (x+1)

    ==> (x^4-1) / (x-1) = (x²+1) (x+1) = x^3+x^2+x+1

    Answer C
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