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OAU Post-UTME Mathematics 2021 (Batch B) Question 8

Question 8

Polynomials

What must be subtracted from 6x3 + 4x2 − x + 5 so that it will be divisible by x − 2?

  1. A.69
  2. B.67
  3. C.51
  4. D.43
Show the answer and explanation

Answer: B (67)

Explanation

The remainder on dividing by x − 2 is f(2) = 48 + 16 − 2 + 5 = 67; subtracting it leaves no remainder.