Use the intermediate value theorem to verify that the polynomial f(x) = -2x³ - 4x² + 3x - 4 has at least one zero "c_i" in the interval [-3, -1]. Do not find the zeroes. A) Yes B) No

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The intermediate value theorem states that if a function is continuous on a closed interval [a, b] and c is any number between f(a) and f(b), then there exists at least one number x in [a, b] such that f(x) = c.

In this case, we can see that f(-3) and f(-1) have opposite signs since f(-3) = -805 and f(-1) = 1. Therefore, by the intermediate value theorem, there must exist at least one zero of f(x) in the interval [-3, -1].

Use the Intermediate Value Theorem to Verify That the Polynomial