Divide and Simplify $$\frac { z ^ { 2 } + 8 z + 15 } { z ^ { 2 } + 12 z + 35 } \div \frac { z ^ { 2 } + 3 z } { z ^ { 2 } + 3 z - 28 }$$

question 39

Multiple Choice

Divide and simplify.
- $$\frac { z ^ { 2 } + 8 z + 15 } { z ^ { 2 } + 12 z + 35 } \div \frac { z ^ { 2 } + 3 z } { z ^ { 2 } + 3 z - 28 }$$

• A) \(\frac { z } { z ^ { 2 } + 12 z + 35 }\)
• B) \(\frac { z - 4 } { z ^ { 2 } + 7 z }\)
• C) \(z - 4\)
• D) \(\frac { \mathrm { z } - 4 } { \mathrm { Z } }\)

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Definitions:

Conclusion

The end or final part of something, especially a period of time, an activity, or a story; in logic, it's the statement that logically follows from the premises.

Standard Form

A specific, organized way of presenting information or arguments, often used in mathematics, philosophy, and logic.

Proposition

A statement that expresses a judgement or opinion and can be either true or false.

Hypothetical Syllogism

A logical argument composed of two conditional statements and a conclusion, based upon hypothetical scenarios.