Give the Maximum Number of Zeros the Polynomial Function May $$f ( x ) = - 2 x ^ { 5 } + x ^ { 3 } - x ^ { 2 } + 3$$

question 332

Multiple Choice

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how
many positive and how many negative zeros it may have.
- $$f ( x ) = - 2 x ^ { 5 } + x ^ { 3 } - x ^ { 2 } + 3$$

• A) 5 ; 3 or 1 positive zeros; 2 or 0 negative zeros
• B) 5 ; 2 or 0 positive zeros; 2 or 0 negative zeros
• C) 5 ; 3 or 1 positive zeros; 3 or 1 negative zeros
• D) \(5 ; 2\) or 0 positive zeros; 3 or 1 negative zeros

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Definitions:

Depreciation Expense

the systematic allocation of the cost of a tangible asset over its useful life.

Goodwill

An intangible asset that arises when a business is acquired for more than its fair value, attributed to factors like reputation, brand, and customer relationships.

Fair Value

The estimated market price of an asset or liability, reflecting the amount for which it could be exchanged or settled between knowledgeable parties in an arm's length transaction.

Book Value

This is the net value of a company's assets minus its liabilities, as recorded on the balance sheet.