Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 9 x + 13$

question 74

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 9 x + 13$ ; zero: $2 + 3 i$

• A) \(2 - 3 i\), 1
• B) \(2 - 3 \mathrm { i } , - 1\)
• C) \(3 - 2 i , - 1\)
• D) \(3 - 2 \mathrm { i } , 1\)

---

Definitions:

Present Obligation

A duty or responsibility to act or perform in a certain way.

Goodwill

The intangible asset that arises when a buyer acquires an existing business but pays more than the fair market value of the net assets.

AASB 3

is the Australian Accounting Standards Board's standard on Business Combinations, detailing the accounting treatment for merging businesses, including the recognition and measurement of assets, liabilities, and any non-controlling interest.

IFRS 3

The International Financial Reporting Standard that deals with the accounting for business combinations, requiring assets, liabilities, non-controlling interest, and goodwill to be accounted for at fair value.