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JAMB Mathematics 1998 Question 10

Question 10

Polynomials

When the expression pm2 + qm + 1 is divided by (m − 1), it has a remainder 2 and when divided by (m + 1) the remainder is 4. Find p and q respectively.

  1. A.2, −1
  2. B.−1, 2
  3. C.3, −2
  4. D.−2, 3
Show the answer and explanation

Answer: A (2, −1)

Explanation

By the remainder theorem, p + q + 1 = 2 and p − q + 1 = 4. So p + q = 1 and p − q = 3, giving p = 2 and q = −1.