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Question
Let f(x) be a polynomial such that \[f\left( - \frac{1}{2} \right)\] = 0, then a factor of f(x) is
Options
2x − 1
2x + 1
x − 1
x +1
Solution
Let f(x) be a polynomial such that `f(-1/2) = 0`
i.e., `x + 1/2 = 0` is a factor.
On rearranging `x+ 1/2 = 0` can be written as (2x + 1) = 0
Thus, (2x + 1)is a factor of f(x).
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