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A:The intermediate value theorem states that if a and b are real numbers where a<bthan a polynomial function where f(a) and f(b) are not equal than, in the interval[a,b], f takes all values between f(a) and f(b). Since any number smaller than zero isnegative and any number greater is positive. If you can find a value x=a, at which thepolynomial function is positive and another value x=b at which it is negative than a 0