Question
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?
NDA
Mathematics
Quadratic Equation
2025
NDA 2025 (Phase 2)
NDA Mathematics Question (2025) — Solution
Options
- A. 0
- B. 1
- C. 2
- D. Cannot be determined
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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