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JAMB Mathematics 1983 Question 5

Question 5

Polynomials

If x = 1 is a root of the equation x3 − 2x2 − 5x + 6, find the other roots.

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

Answer: C (3 and −2)

Explanation

Dividing by x − 1 gives x² − x − 6 = (x − 3)(x + 2), so the other roots are 3 and −2.