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Subject:  Precalculus

Divide (x³ − 1) by (x − 1)

Polynomial long division reveals x − 1 as a factor of x³ − 1.

Answer quotient = x² + x + 1, remainder = 0

Solution

  1. Dividend x³ − 1
  2. Divisor x − 1
  3. Divide leading terms bring down 1·x², then subtract
  4. Divide leading terms bring down 1·x¹, then subtract
  5. Divide leading terms bring down 1·x⁰, then subtract
  6. Quotient x² + x + 1
  7. Remainder 0

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