Multiply and Simplify $$\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 17 x + 60 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 9 x + 14 }$$

question 187

Multiple Choice

Multiply and simplify.
- $$\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 17 x + 60 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 9 x + 14 }$$

• A) \(\frac { ( x - 3 ) ( x - 8 ) } { ( x - 12 ) ( x - 7 ) }\)
• B) \(\frac { \left( x ^ { 2 } - 5 x + 6 \right) \left( x ^ { 2 } - 13 x + 40 \right) } { \left( x ^ { 2 } - 17 x + 60 \right) \left( x ^ { 2 } - 9 x + 14 \right) }\)
• C) \(\frac { ( x + 3 ) ( x + 8 ) } { ( x + 12 ) ( x + 7 ) }\)
• D) \(\frac { ( x - 3 ) } { ( x - 7 ) }\)

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Definitions:

James Madison

An American statesman, diplomat, and the fourth President of the United States, known as the "Father of the Constitution" for his pivotal role in drafting and promoting the U.S. Constitution.

Federalists

Members of a political group that supported the adoption of the U.S. Constitution and the creation of a strong federal government.

Decentralized Government

A system of governance where power is spread out among various regional, local, or state authorities, instead of being concentrated in a central government.

Antifederalists

Opponents of the ratification of the U.S. Constitution, advocating for a weaker central government.