Form a Polynomial F(x) with Real Coefficients Having the Given $2 \mathrm { i }$

question 67

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 4 ; zeros: $2 \mathrm { i }$ and $- 5 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } + 100\)
• B) \(f ( x ) = x ^ { 4 } - 2 x ^ { 3 } + 29 x ^ { 2 } + 100\)
• C) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } - 5 x + 100\)
• D) \(f ( x ) = x ^ { 4 } - 5 x ^ { 2 } + 100\)

---

Definitions:

Cumulative Preferred Shares

A type of preferred stock where dividends accumulate if not paid in a given year and must be paid out before any dividends can go to common stockholders.

Contributed Surplus

The excess amount paid by investors over the par value of shares, recorded in the shareholders' equity section of the balance sheet.

Retained Earnings

The amount of net earnings not distributed to shareholders as dividends but reinvested in the business or kept as reserves.

Accumulated Other Comprehensive Income

A component of shareholders' equity on the balance sheet, representing gains and losses not reflected in net income, such as foreign currency items, unrealized gains/losses on certain investments, and pension plan adjustments.