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JAMB Mathematics 1995 Question 12

Question 12

Polynomials

Find a positive value of p if the expression 2x2 − px + p leaves a remainder 6 when divided by x − p

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

Answer: B (2)

Explanation

By the remainder theorem, put x = p: 2p² − p² + p = 6, so p² + p − 6 = 0, (p + 3)(p − 2) = 0. The positive value is p = 2.