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OAU Post-UTME Mathematics 2022 (Batch A) Question 17

Question 17

Polynomials

If x − 3 is a factor of 2x2 − 2x + p, find the value of the constant p.

  1. A.12
  2. B.−12
  3. C.3
  4. D.−3
Show the answer and explanation

Answer: B (−12)

Explanation

If x − 3 is a factor, putting x = 3 gives 0: 2(9) − 6 + p = 0, so p = −12.