Simplify Rational Expressions
- $$\frac { x ^ { 2 } + 8 x + 15 } { x ^ { 2 } + 14 x + 45 }$$

question 325

Multiple Choice

Simplify Rational Expressions
- $$\frac { x ^ { 2 } + 8 x + 15 } { x ^ { 2 } + 14 x + 45 }$$

• A) \(\frac { x + 3 } { x + 9 } , x \neq - 9 , - 5\)
• B) \(\frac { 8 x + 15 } { 14 x + 45 } , x \neq - \frac { 45 } { 14 }\)
• C) \(\frac { 8 x + 1 } { 14 x + 3 } , x \neq - \frac { 3 } { 14 }\)
• D) \(- \frac { x ^ { 2 } + 8 x + 15 } { x ^ { 2 } + 14 x + 45 } , x \neq - 9 , - 5\)

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Definitions:

Higher-Level Needs

Advanced human desires in Maslow’s hierarchy, including esteem and self-actualization needs, which surface after basic physiological and safety needs are met.

Lower-Level Needs

Basic human requirements such as physiological needs and safety, which have to be fulfilled before higher-level needs, like self-esteem and self-actualization.

Paycheck

A check issued by an employer to an employee in payment for job services rendered, representing wages or salary.

Needs Motivation Theories

Psychological theories that explain human motivation based on the fulfillment of certain needs, such as physiological, safety, belongingness, esteem, and self-actualization needs.