Question

Which statement best describes the excluded values of a rational expression?

A.The number of excluded values of a rational expression cannot exceed the degree of the numerator.

B.The number of excluded values of a rational expression cannot exceed the degree of the denominator.

C.The number of excluded values of a rational expression cannot exceed the sum of the degrees of the numerator and denominator.

D.The number of excluded values of a rational expression cannot exceed the difference in the degrees of the numerator and denominator.

Answer 1

 the answer is b because

Answer 2

Answer:

Option: B is the correct answer.

B.  The number of excluded values of a rational expression cannot exceed the degree of the denominator.

Step-by-step explanation:

We know that a rational expression is a expression of the form:

$\dfrac{p(x)}{q(x)}$

where p(x) and q(x) are polynomials.

Excluded value--

The excluded value of a rational expression are the values where the denominator of the expression is zero.

Also, the number of zeros of a polynomial is always less than or equal to degree of the polynomial.

Hence, the  number of excluded values of a rational expression cannot exceed the degree of the denominator.

         The answer is:

            Option: B