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:
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:
Option 1 -
Option 2 -
Option 3 -
Option 4 -
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:Let’s assume other root to be a
Given that f (-2) + f (3) = 0
a (-2 + 1) (-2 -a) + a (3 + 1) (3 - a) = 0
Þ 14 -3a = 0 Þ a =
sum of roots =
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