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UI Post-UTME Mathematics 2021 (Model questions) Question 6

Question 6

Polynomials

What is the quotient if 4x3 − 3x + 1 is divided 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: A (2x2 + x − 1)

Explanation

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