Question

What would be the p/q list of possible rational numbers for f(x)

Answer 1

Answer:
`\pm 1, \ \pm 3, \pm 9, \pm 27`

Step-by-step explanation:

Since the leading coefficient is 1, we list the factors of the last term (-27) as the list of possible rational roots. Write the plus minus version of each.

If you don't want to use the plus minus symbol, then the list could look like this:

-1, 1, -3, 3, -9, 9, -27, 27

Optionally you could sort from smallest to largest, but I think it's handy to keep the corresponding pairs together.

Answer 2

p/q = ± 1/1, 3/1, 9/1, 27/1

p/q = ± 1, 3, 9, 27

Step-by-step explanation:

p comes from the list of all factors of 27.

q comes from the list of all factors of 1.

27 = 27 × 1

27 = 9 × 3

All factors of 27 are: 1, 3, 9, 27

p/q = ± 1/1, 3/1, 9/1, 27/1

p/q = ± 1, 3, 9, 27