JAMB Mathematics 1999 Question 21

Question 21

Polynomials

Divide 4x3 − 3x + 1 by 2x − 1

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

Answer: D (2x2 + x − 1)

Explanation

Check by multiplying: (2x − 1)(2x² + x − 1) = 4x³ + 2x² − 2x − 2x² − x + 1 = 4x³ − 3x + 1.