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Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and b. f(x) = x³ + 5x² − 5x − 16; a = -6, b = - 4 ... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. By the intermediate value theorem, the function has at least one real zero between a and b because f(a) = and f(b) = (Simplify your answers.) ▪ B. By the intermediate value theorem, the function does not have at least one real zero between a and b because f(a) = and f(b) = (Simplify your answers.) C. It is impossible to use the intermediate value theorem in this case.

Find the zeros of the polynomial function and state the multiplicity of each. f(x) = − 3(x − 5)²(x + 2)²x³ The zero 5 has multiplicity is a zero of multiplicity 2. The remaining zero is. It has multiplicity.