# Whether the given fractional expression is rational expression.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.4, Problem 1E

(a)

To determine

## Whether the given fractional expression is rational expression.

Expert Solution

The given fractional expression is rational expression.

### Explanation of Solution

A fractional expression in which both the numerator and the denominator are polynomials is known as rational expression.

The given fractional expression is,

3xx21

The numerator and denominator both are polynomials in the above expression.

Thus, the given fractional expression is rational expression.

(b)

To determine

### Whether the given fractional expression is rational expression.

Expert Solution

The given fractional expression is not rational expression.

### Explanation of Solution

A fractional expression in which both the numerator and the denominator are polynomials is known as rational expression.

The given fractional expression is,

x+12x+3

The denominator of given expression is polynomial but the numerator is radical.

Thus, the given fractional expression is not rational expression.

(c)

To determine

### Whether the given fractional expression is rational expression.

Expert Solution

The given fractional expression is rational expression.

### Explanation of Solution

A fractional expression in which both the numerator and the denominator are polynomials is known as rational expression.

The given fractional expression is,

x(x21)x+3

The numerator and denominator both are polynomials in the above expression.

Thus, the given fractional expression is rational expression.

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