Use the Intermediate Value Theorem for Polynomials to Show That $f ( x ) = x ^ { 4 } - 9 x ^ { 2 } + 18 ; 1.7$

question 153

Multiple Choice

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the
numbers given.
- $f ( x ) = x ^ { 4 } - 9 x ^ { 2 } + 18 ; 1.7$ and $1.8$

• A) \(f ( 1.7 ) = 0.3421\) and \(f ( 1.8 ) = - 0.6624\)
• B) \(\mathrm { f } ( 1.7 ) = 0.3421\) and \(\mathrm { f } ( 1.8 ) = 0.6624\)
• C) \(f ( 1.7 ) = - 0.3421\) and \(f ( 1.8 ) = - 0.6624\)
• D) \(f ( 1.7 ) = 0.6579\) and \(f ( 1.8 ) = - 0.6624\)

---

Definitions:

What Ought to Happen

refers to normative expectations or prescriptions for behavior and outcomes in societal or specific contexts.

Unequal Distribution

The uneven allocation or spread of resources, wealth, or opportunities among members of a society or between societies.

Limited Resources

Economic or physical assets that are in finite supply, requiring allocation and management to meet various needs and desires.

Positivist Theories

A school of thought in sociology and criminology that emphasizes the application of empirical, scientific methods to the study of social issues and crime.