Question

Given the expressions -1 and b + 1. Illustrate a rational algebraic expressions whose numerator is -1

Answer 1

Given:

Given expressions are -1 and b + 1.

To find:

We need to find a rational algebraic expression whose numerator is -1.

Solution:

Before solving the question, we should know the meaning of rational expression.

A rational algebraic expression is fraction in which the numerator or the denominator are the polynomials.

Examples:

1. $\frac{x+1}{x^2+7}$

Here, the numerator and denominator contains polynomials.

2. $\frac{1}{x+3}$

Here, only denominator contains polynomial.

Now, coming back to the given question.

The numerator in rational expression is -1. Then the denominator will be b + 1.

So,

$\Rightarrow \frac{-1}{b+1}$

$\Rightarrow - \frac{1}{b+1}$

Therefore, the required rational algebraic expression is $-\frac{1}{b+1}$.