Form a Polynomial F(x)with Real Coefficients Having the Given Degree $- 2$

question 215

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 3 ; zeros: $- 2$ and $3 + i$ .

• A) \(f ( x ) = x ^ { 3 } - 6 x ^ { 2 } - 10 x + 20\)
• B) \(f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 10 x + 20\)
• C) \(f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 2 x + 20\)
• D) \(f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 2 x + 20\)

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Definitions:

Seismic Waves

Vibrations that travel through the Earth's interior or along its surface, produced by earthquakes or human activity.

Seismic Stations

Facilities equipped to detect, record, and measure seismic waves generated by earthquakes or other seismic events.

Hypocenter

The place where an earthquake is generated; synonym: the focus.

Strike-slip Fault

A type of fault where the movement of the Earth's crust is predominantly horizontal, parallel to the strike of the fault.