Write $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 15 x + 28$

question 39

Multiple Choice

Write $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 15 x + 28$ in the form f (x) = (x - k) q(x) when k = -3.

• A) \(f ( x ) = ( x + 3 ) \left( x ^ { 2 } + 2 x + 9 \right)\)
• B) \(f ( x ) = ( x + 3 ) \left( x ^ { 2 } + 2 x + 9 \right) + 1\)
• C) \(f ( x ) = ( x - 3 ) \left( x ^ { 2 } + 2 x + 9 \right) - 1\)
• D) \(f ( x ) = ( x - 3 ) \left( x ^ { 2 } - 2 x + 9 \right) + 1\)
• E) \(f ( x ) = ( x + 3 ) \left( x ^ { 2 } - 2 x + 9 \right) - 1\)

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Definitions:

Supply of Seats

Refers to the number of seats available, often in context to theaters, vehicles, or other venues where seating is limited.

Ticket Prices

The cost assigned for admission to an event, such as a movie, concert, or sports event.

Perfectly Inelastic

A market situation where the quantity demanded or supplied is completely unresponsive to changes in price.

Stadium Capacity

The maximum number of spectators that a stadium can accommodate.