Perform the Indicated Operations and Simplify the Result $$\frac { x ^ { 2 } - 11 x + 28 } { x ^ { 2 } - 18 x + 80 } \cdot \frac { x ^ { 2 } - 13 x + 30 } { x ^ { 2 } - 18 x + 77 }$$

question 245

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { x ^ { 2 } - 11 x + 28 } { x ^ { 2 } - 18 x + 80 } \cdot \frac { x ^ { 2 } - 13 x + 30 } { x ^ { 2 } - 18 x + 77 }$$

• A) \(\frac { ( x - 4 ) } { ( x - 11 ) }\)
• B) \(\frac { ( x - 4 ) ( x - 3 ) } { ( x - 8 ) ( x - 11 ) }\)
• C) \(\frac { \left( x ^ { 2 } - 11 x + 28 \right) \left( x ^ { 2 } - 13 x + 30 \right) } { \left( x ^ { 2 } - 18 x + 80 \right) \left( x ^ { 2 } - 18 x + 77 \right) }\)
• D) \(\frac { ( x + 4 ) ( x + 3 ) } { ( x + 8 ) ( x + 11 ) }\)

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Definitions:

Perceptiveness

the ability to notice or understand things quickly and accurately, especially those that are not obvious.

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The perspectives, experiences, or contexts through which individuals interpret information or situations.

Channel Overload

A situation where the amount of information or the number of communication channels becomes overwhelming, leading to decreased effectiveness in communication.

Decoding

the process of interpreting or making sense of a message, code, or information.