Find a Polynomial of Degree 3 with Real Coefficients That $- 5 , i , - i$

question 437

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of $- 5 , i , - i$ and $P ( - 3 ) = 60$

• A) \(P ( x ) = 3 x ^ { 3 } + 15 x ^ { 2 } + 3 x + 15\)
• B) \(P ( x ) = - 3 x ^ { 3 } - 15 x ^ { 2 } - 3 x - 15\)
• C) \(P ( x ) = - 3 x ^ { 3 } - 15 x ^ { 2 } + 3 x + 15\)
• D) \(P ( x ) = 3 x ^ { 3 } + 15 x ^ { 2 } - 3 x - 15\)

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Definitions:

Metacarpals

The five long bones in the hand that are located between the wrist and the fingers.

Tarsals

Tarsals are a group of seven small bones that make up the ankle and the posterior part of the foot, supporting the body's weight during standing and movement.

Metatarsals

The long bones located in the foot between the ankle and the toes, crucial for weight bearing and movement.

Phalanges

The bones in the fingers and toes of the human body, playing essential roles in movement and dexterity.