Find a Polynomial Function of the Lowest Degree with Real $0 , - 3,1 + 3 i$

question 116

Multiple Choice

Find a polynomial function of the lowest degree with real coefficients that has the zeros below and whose leading coefficient is one. $0 , - 3,1 + 3 i$

• A) \(f ( x ) = x ^ { 4 } + 30 x ^ { 3 } - 5 x ^ { 2 } + x\)
• B) \(f ( x ) = x ^ { 4 } + x ^ { 3 } + 4 x ^ { 2 } + 30 x\)
• C) \(f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + x ^ { 2 } + 30 x\)
• D) \(f ( x ) = x ^ { 4 } + x ^ { 3 } + 30 x ^ { 2 } - 5 x\)
• E) \(f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + 30 x ^ { 2 } + x\)

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Definitions:

Upper Back

The region of the back that extends from the base of the neck to the bottom of the ribcage, encompassing muscles and vertebrae.

Quadriceps

A group of four muscles located at the front of the thigh, responsible for extending the knee and flexing the thigh at the hip.

Pedometer

A device that counts the number of steps taken, often used to monitor physical activity levels.

Outermost Part

Refers to the external surface or extreme edge of an object or area.