WAEC Further Mathematics 2010 Question 8

Question 8

Polynomials

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

  1. A.−12
  2. B.−6
  3. C.3
  4. D.6
Show the answer and explanation

Answer: A (−12)

Explanation

By the factor theorem, putting x = 3 gives 0: 18 − 6 + p = 0, so p = −12.