Use the Factor Theorem to Determine Whether X - C $$f ( x ) = 5 x ^ { 4 } - 7 x ^ { 3 } + 17 x ^ { 2 } - 21 x + 6 ; c = 1$$

question 181

Multiple Choice

Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the
form f(x) = (x - c) (quotient) .
- $$f ( x ) = 5 x ^ { 4 } - 7 x ^ { 3 } + 17 x ^ { 2 } - 21 x + 6 ; c = 1$$

• A) Yes; \(f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } + 3 x ^ { 2 } + 15 x - 6 \right)\)
• B) Yes; \(f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } - 2 x ^ { 2 } - 16 x - 6 \right)\)
• C) Yes; \(f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } - 2 x ^ { 2 } + 15 x - 6 \right)\)
• D) No

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Definitions:

Immune System

A complex network of cells, tissues, and organs that work together to defend the body against attacks by foreign invaders, such as bacteria, viruses, and parasites.

Survival Rates

Statistical measures representing the percentage of individuals in a population who live for a specific period of time after diagnosis or treatment of a disease, often used in a clinical context.

Immune Cell Levels

The quantity or concentration of cells within the immune system at a given time, reflecting the body's capability to fight infections and diseases.

Wear-And-Tear Theory

A theory suggesting that aging results from the accumulation of damage and deterioration in the body's cells and systems over time.