If X = -4 Is a Root Of $x ^ { 3 } + 5 x ^ { 2 } - 16 x - 80 = 0$

question 55

Multiple Choice

If x = -4 is a root of $x ^ { 3 } + 5 x ^ { 2 } - 16 x - 80 = 0$ ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.

• A) \(( x + 5 ) ( x - 5 ) ( x - 4 ) ; x = - 5,5,4\)
• B) \(( x + 5 ) ^ { 2 } ( x + 4 ) ; x = - 5 , - 4\)
• C) \(( x + 5 ) ( x + 4 ) ^ { 2 } ; x = - 5 , - 4\)
• D) \(( x - 5 ) ( x + 4 ) ( x - 4 ) ; x = 5 , - 4,4\)
• E) \(( x + 5 ) ( x + 4 ) ( x - 4 ) ; x = - 5 , - 4,4\)

---

Definitions:

Semi-Strong Form Efficiency

This refers to a theory suggesting that all public information is already accounted for in stock prices, and that it's impossible to achieve higher returns using this information alone.

Market Efficiency

a condition in which asset prices fully reflect all available information.

Well-Organized Markets

Refers to financial markets that are structured efficiently, facilitating the seamless exchange of securities.

Dollar Return

The total gain or loss on an investment expressed in monetary terms, considering both capital gains and dividends or interest.