Find the Product or Quotient $$\frac { k ^ { 2 } + 11 k + 30 } { k ^ { 2 } + 14 k + 48 } \cdot \frac { k ^ { 2 } + 8 k } { k ^ { 2 } + 12 k + 35 }$$

question 510

Multiple Choice

Find the product or quotient.
- $$\frac { k ^ { 2 } + 11 k + 30 } { k ^ { 2 } + 14 k + 48 } \cdot \frac { k ^ { 2 } + 8 k } { k ^ { 2 } + 12 k + 35 }$$

• A) \(\frac { \mathrm { k } ^ { 2 } + 8 \mathrm { k } } { \mathrm { k } + 7 }\)
• B) \(\frac { 1 } { \mathrm { k } + 7 }\)
• C) \(\frac { k } { k ^ { 2 } + 14 k + 48 }\)
• D) \(\frac { \mathrm { k } } { \mathrm { k } + 7 }\)

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Definitions:

Semiotics

The study of signs and symbols and their use or interpretation, often applied in linguistic, cultural, and social contexts.

Pragmatics

The branch of linguistics concerned with the use of language in social contexts and the ways in which people produce and comprehend meanings through language.

Suprematism

A type of art formulated by Kazimir Malevich to convey his belief that the supreme reality in the world is pure feeling, which attaches to no object and thus calls for new, nonobjective forms in art—shapes not related to objects in the visible world.

Pure Feeling

An unalloyed emotional state that is undiluted by rational thought, often emphasized in discussions of art, music, and poetry to denote sincere or profound emotion.