Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 36 x + 26$$

question 285

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 36 x + 26$$

• A) \(f ( x ) = ( x + 1 ) ( x + 5 + i \sqrt { 2 } ) ( x - 1 - i \sqrt { 2 } )\)
• B) \(f ( x ) = ( x + 1 ) ( x + 5 + i ) ( x + 5 - i )\)
• C) \(f ( x ) = ( x + 1 ) ( x + 5 + i ) ( x - 5 - i )\)
• D) \(f ( x ) = ( x - 1 ) ( x + 5 + i \sqrt { 2 } ) ( x + 5 - i \sqrt { 2 } )\)

---

Definitions:

Dissatisfaction

A feeling of unhappiness or discontentment due to unmet expectations or needs.

Transcendent

Independent of. In the philosophy of religion, a transcendent God is one who is distinct and separate from the universe he created. This is contrasted with the concept of an immanent God, for example, in pantheism, where God is identical with his creation, or, to take a different example, in certain forms of humanism, in which God is identical with humankind. (G. W. F. Hegel argued such a thesis.)

Existence

Refers to the state or fact of being real or living, or of being present in a particular situation or under specific conditions.

Relate

To relate means to establish a connection or association between two or more entities, concepts, or people.