Use the Intermediate Value Theorem to Determine Whether the Polynomial

question 82

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
-f(x) = x⁵ - 10x⁴ + 42x³ -124 x² + 297x - 306 ; zero: 3i

• A) 2, -3i, 4 - i, 4 + i
• B) -2, -3i, -4 - i, -4 + i
• C) 2, -3i, -4 - i, -4 + i
• D) -2, -3i, 4 - i, 4 + i

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Definitions:

Homogenous Product

Goods that are identical in quality and cannot be distinguished from one another by consumers.

Barriers To Entry

Obstacles that prevent new competitors from easily entering an industry or area of business, such as high start-up costs or complex regulations.

Economic Profits

Profits exceeding the opportunity costs of the inputs used in the production process, an indicator of efficiency and effectiveness in resource utilization.

Mean Reversion

Suggests that performance eventually moves back toward the mean or average.