Determine the X Values That Cause the Polynomial Function to Be

question 176

Multiple Choice

Determine the x values that cause the polynomial function to be (a) zero, (b) positive, and (c) negative.
- $$f ( x ) = ( x - 7 ) ( 3 x + 5 ) ( x + 2 )$$

• A) (a) \(\left\{ - 2 , - \frac { 5 } { 3 } , 7 \right\}\), (b) \(( \infty , - 2 ) \cup \left( - \frac { 5 } { 3 } , 7 \right)\), (c) \(\left( - 2 , - \frac { 5 } { 3 } \right) \cup ( 7 , \infty )\)
• B) (a) \(\left\{ - 2 , - \frac { 5 } { 3 } , 7 \right\}\) (b) \(\left( - 2 , - \frac { 5 } { 3 } \right) \cup ( 7 , \infty )\), (c) \(( \infty , - 2 ) \cup \left( - \frac { 5 } { 3 } , 7 \right)\)
• C) (a) \(\{ - 2 , - 5,7 \rangle\), (b) \(( - 2 , - 5 ) \cup ( 7 , \infty )\), (c) \(( \infty , - 2 ) \cup ( - 5,7 )\)
• D) (a) \(\left\{ - 2 , - \frac { 5 } { 3 } , 7 \right\}\) (b) \(( - 2,7 )\), (c) \(( * , - 2 ) \cup ( 7 , \infty )\)

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Definitions:

Externalities

Economic side effects or consequences of commercial activities that affect other parties without being reflected in the costs of the goods or services involved.

Negative Externality

A description of a situation where individual or corporate actions result in harmful effects on third parties or the environment, not compensated by the price of transactions.

Water Pollution

The contamination of water bodies such as rivers, lakes, and oceans, due to the discharge of harmful substances into these environments.

Adverse Selection

A situation in insurance and other markets where buyers and sellers have asymmetric information, leading to transactions where one party might have higher risks than the other perceives.