Find All the Rational Zeros of the Function $f ( x ) = 6 x ^ { 4 } + 13 x ^ { 3 } - 8 x ^ { 2 } - 17 x + 6$

question 103

Multiple Choice

Find all the rational zeros of the function.
- $f ( x ) = 6 x ^ { 4 } + 13 x ^ { 3 } - 8 x ^ { 2 } - 17 x + 6$

• A) \(- \frac { 1 } { 3 } , - \frac { 3 } { 2 } , 1,2\)
• B) \(\frac { 1 } { 3 } , - \frac { 3 } { 2 } , 1 , - 2\)
• C) \(- \frac { 1 } { 3 } , \frac { 3 } { 2 } , - 1,2\)
• D) \(\frac { 1 } { 3 } , \frac { 3 } { 2 } , - 1 , - 2\)

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Definitions:

Regional Metamorphism

The process by which rocks are transformed by high pressure and temperature over broad areas, typically associated with mountain building.

Moderate Depths

Refers to water or areas of the ocean that are neither close to the surface nor too deep, often supporting a diverse range of marine life.

Normal Heating

The regular process of increasing temperature in an environment or system without external intervention.

Recrystalization

Recrystallization is a metamorphic process where crystals of minerals grow larger while the overall chemical makeup of the rock remains the same, usually as a result of heat and/or pressure.