JEE Main 2022 Mathematics question
Let f(x) be a quadratic polynomial such that f(−2) + f(3) = 0. If one of the roots of f(x) = 0 is −1, then the sum of the roots of f(x) = 0 is equal to:
Answer: (1)
Solution
Since −1 is a root, f(x) = A(x + 1)(x − b). Then f(−2) = A(−1)(−2 − b) = A(2 + b) and f(3) = A(4)(3 − b).
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