Find All Complex Zeros of the Polynomial Function, and Write $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$$

question 181

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$$

• A) \(f ( x ) = ( x - 1 ) ( x + 5 i ) ( x - 5 i )\)
• B) \(f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 25 )\)
• C) \(f ( x ) = ( x - 1 ) ( x + 5 ) ( x - 5 )\)
• D) \(f ( x ) = ( x - 25 ) ( x + i ) ( x - i )\)

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Definitions:

SCID

Severe Combined Immunodeficiency, a rare genetic disorder characterized by the disturbed development of functional T cells and B cells caused by numerous genetic mutations, leading to a highly vulnerable immune system.

SCID

Severe Combined Immunodeficiency, an immune disorder characterized by a severe lack of T lymphocytes and B lymphocytes, leading to a highly compromised immune system.

TCR

TCR, or T-cell receptor, is a molecule found on the surface of T cells, a type of white blood cell, which is responsible for recognizing fragments of antigens as peptides bound to major histocompatibility complex (MHC) molecules.

MHC Class II

Molecules found on the surface of certain immune cells that are involved in the immune system's ability to recognise and respond to foreign particles.