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Question
If f(x) is a polynomial such that f(a) f(b) < 0, then what is the number of zeros lying between a and b?
Sum
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Solution
If f(x) is a polynomial such that `f(a) f (b) < 0` then this means the value of the polynomial are of different sign for a to b
Hence, at least one zero will be lying between a and b
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