Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 6 \mathrm { x } ^ { 3 } + 19 \mathrm { x } ^ { 2 } + 8 \mathrm { x } - 5$

question 99

Multiple Choice

Solve the problem.
-The polynomial function $\mathrm { f } ( \mathrm { x } ) = 6 \mathrm { x } ^ { 3 } + 19 \mathrm { x } ^ { 2 } + 8 \mathrm { x } - 5$ has exactly one positive zero.
Use the Intermediate Value Theorem to approximate the zero correct to 2 decimal places.

• A) \(0.10\)
• B) \(0.66\)
• C) \(0.33\)
• D) \(0.50\)

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Definitions:

Modest Support

Minimal but meaningful assistance or backing provided to an individual or initiative, typically sufficient to achieve a particular purpose or goal.

Amphetamines

Drugs that have effects on the body similar to those of the naturally occurring hormone adrenaline. Originally developed as a nasal decongestant and asthma treatment in the 1930s. In addition to shrinking mucous membranes and constricting blood vessels, they increase alertness and concentration. Chronic amphetamine use is associated with feelings of fatigue and sadness, as well as periods of social withdrawal and intense anger.

Decongestant

A medication used to relieve nasal congestion in the upper respiratory tract.

Asthma Treatment

Involves managing symptoms and preventing asthma attacks using a combination of lifestyle changes, inhalers, medications, and sometimes allergy treatments.