Find a Polynomial of Degree 3 with Real Coefficients That $- 3,2,6$

question 280

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of $- 3,2,6$ and $P ( 1 ) = 20$

• A) \(P ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 11 x + 30\)
• B) \(\mathrm { P } ( \mathrm { x } ) = \mathrm { x } ^ { 3 } + 5 \mathrm { x } ^ { 2 } - 11 \mathrm { x } + 30\)
• C) \(P ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 12 x - 36\)
• D) \(P ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 12 x + 36\)

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Definitions:

Benin Ivory

Ivory sculptures and artifacts from the Kingdom of Benin (modern-day Nigeria), reflecting the wealth, craftsmanship, and artistry of the Benin people, especially from the 15th century onwards.

Ife Ruler

Refers to the kings or religious leaders of Ife, an ancient Yoruba city in Nigeria, known for its unique art, particularly lifelike bronze and terracotta sculptures.

Zinc-Brass

An alloy predominantly made of copper and zinc, used in a variety of decorative and practical applications for its resilience and finish.

Terracotta

A type of earthenware, a clay-based unglazed or glazed ceramic, where the fired body is porous, commonly used for sculptures and pottery.