Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 36 x - 108$

question 47

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 36 x - 108$ and determine the multiplicity of each.

• A) \(x = 6 , \text { multiplicity } 2 ; x = - 3 \text {, multiplicity } 1\)
• B) \(x = 6 \text {, multiplicity } 1 ; x = - 6 \text {, multiplicity } 1 ; x = - 3 \text {, multiplicity } 1\)
• C) \(x = - 3 \text {, multiplicity } 2 ; x = - 6 \text {, multiplicity } 1\)
• D) \(x = - 6 \text {, multiplicity } 1 ; x = 3 \text {, multiplicity } 1 ; x = - 3 \text {, multiplicity } 1\)
• E) \(x = - 3 \text {, multiplicity } 3\)

---

Definitions:

Japanese Yen

The Japanese Yen is the official currency of Japan, known as one of the most traded currencies in the foreign exchange market.

Appreciated

Increased in value or price.

Traded

The action of buying, selling, or exchanging goods and services between people, businesses, or countries.

Net Creditor Nation

A country that has more investments abroad than other countries have within its borders, resulting in a positive balance of international investments.