Determine All Possible Rational Solutions of the Polynomial Equation $$f ( x ) = 2 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 17$$

question 96

Multiple Choice

Determine all possible rational solutions of the polynomial equation.
- $$f ( x ) = 2 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 17$$

• A) \(\pm 1 , \pm 2 , \pm 17 , \pm \frac { 17 } { 2 }\)
• B) \(\pm 1 , \pm 2 , \pm 17\)
• C) \(\pm 1 , \pm 17 , \pm \frac { 1 } { 2 } , \pm \frac { 17 } { 2 }\)
• D) \(\pm 1 , \pm \frac { 1 } { 17 } , \pm 2 , \pm \frac { 2 } { 17 }\)

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Definitions:

Rifted Apart

A geographical term describing the process by which tectonic plates move away from each other, creating rift valleys or separating landmasses.

Oceanic Plateau

A large, flat, elevated area of the seabed formed by volcanic activity, often found in the middle of ocean basins.

Hot Spot

A volcanic region thought to be fed by underlying mantle that is anomalously hot compared with the surrounding mantle.

Transform Boundary

A type of tectonic plate boundary where plates slide past each other horizontally, causing seismic activity.