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For the following two (02) items: Let f(x) = ax^2 + bx + c be a quadratic polynomial such that f(1) = f(4) = 2 . Further, 2 is a root of f(x) = 0 . What is (a + b + c) equal to?

Options

  1. A0
  2. B1
  3. C2
  4. DCannot be determined

Correct answer

C. 2

Step-by-step solution

Given f(x) = ax^2 + bx + c Substituting x = 1 in the given polynomial: f(1) = a(1)^2 + b(1) + c = a + b + c It is given in the problem that f(1) = 2 . Therefore, a + b + c = 2 . Answer: 2

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