The excluded values of a rational expression are 0, 6, and 9. Which of the following could be this expression?

D

Step-by-step explanation:

Since there are 3 excluded values then the denominator has to be of degree 3.

This excludes expressions B and C

Factor the denominators of expressions A  and D

a³ - 15a² - 54a ← factor out a

= a(a² - 15a - 54) ← does not factor, thus not expression A

a³ - 15a² + 54a ← factor out a

= a(a² - 15a + 54)

= a(a - 6)(a - 9) ← in factored form

The excluded values are therefore

a = 0, a = 6 and a = 9 → expression D

no solution

step-by-step explanation:

there is not enough information in the problem to solve.