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JAMB Mathematics 1993 Question 18

Question 18

Polynomials

Divide the expression x3 + 7x2 + x + 7 by 1 + x2

  1. A.x3 + 7x2 + 7
  2. B.x3 − 7x + 7
  3. C.x − 7
  4. D.x + 7
Show the answer and explanation

Answer: D (x + 7)

Explanation

Group the terms: x³ + 7x² + x + 7 = x²(x + 7) + (x + 7) = (x² + 1)(x + 7). Dividing by 1 + x² leaves x + 7.