Factor F(x) into Linear Factors Given That K Is a Zero

question 339

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = 4 x ^ { 3 } + ( 7 - 4 i ) x ^ { 2 } + ( - 14 - 11 i ) x + 3 + 3 i ; k = 1 + i$$

• A) \(( x - ( 1 + i ) ) ( x + 3 ) ( 4 x - 1 )\)
• B) \(( x + ( 1 + i ) ) ( x - 3 ) ( 4 x + 1 )\)
• C) \(( x - ( 1 + i ) ) ( x - 3 ) ( 4 x + 1 )\)
• D) \(( x - ( 1 + i ) ) ( x + 2 ) ( 4 x - 1 )\)

Comprehend that shorter payback periods do not necessarily indicate higher profitability.

Grasp the significance of aligning the discount rate with the company's minimum required rate of return in net present value analysis.

Recognize the importance of considering salvage values in the computation of payback periods.

Understand the preference rule for ranking projects using the profitability index.

---

Definitions:

Foreign Exchange Gain

A profit arising from the increase in value of one currency against another in which a company holds assets or liabilities.

Non-Interest-Bearing Note

A financial instrument that does not accrue interest over its life, promising to pay the principal amount at maturity.

U.S. Dollar Equivalent

The value of a foreign currency expressed in terms of the amount of U.S. dollars it can be exchanged for.

Put Option

A financial derivative that gives the holder the right, but not the obligation, to sell a specified amount of an underlying asset at a set price within a specified time frame.