The excluded values of a rational expression are –3, 0, and 8. which of the following could be this expression?

The correct option is 1.

Step-by-step explanation:

If a rational function is defined as

then the excluded values of a rational expression are zeroes of the denominator. In other words, the excluded values of a rational expression are those values of x for which Q(x)=0.

It is given that the excluded values of a rational expression are –3, 0, and 8. It means denominator have three zeroes or degree 3.

Only expression 1 has denominator with degree 3. The first expression is

Equate denominator equal to 0.

The roots of this equation are excluded values of the rational expression.

Taking out the common factor.

Using zero product property, we get

The excluded values of first rational expression are –3, 0, and 8. Theretofore the correct option is 1.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.