Find the Smallest Positive Integer and the Largest Negative Integer

question 37

Multiple Choice

Find the smallest positive integer and the largest negative integer that, by the Upper- and Lower-Bound Theorem, are upper and lower bounds, respectively, for the real zeros of the polynomial function .

• A)upper bound 3, lower bound -4
• B)upper bound 20, lower bound -28
• C)upper bound 28, lower bound -28
• D)upper bound 4, lower bound -1
• E)upper bound 20, lower bound -20

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Definitions:

Planetary Gearsets

A gear system consisting of one or more outer gear rings (planet gears) rotating around a central sun gear, commonly used in automatic transmissions.

Allison Transmission

A brand known for its heavy-duty automatic transmissions, commonly used in trucks and buses.

Five-Speed

A transmission configuration with five forward gear ratios, providing a balance between performance and fuel efficiency in vehicles.

Modulator Pressure

The pressure within an automatic transmission's hydraulic system that helps control shifting by modulating the engagement of clutches and brake bands.