UI Post-UTME Mathematics 2014 Question 12

Question 12

Polynomials

Find the constant q such that f(x) = 2x3 + qx + 2 and f(−1) = 2

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

Answer: B (−2)

Explanation

f(−1) = 2(−1) − q + 2 = −q. Setting −q = 2 gives q = −2.