Question

Which of the following is a polynomial with roots 3, –3, and 3 ?

x3 + 3x2 + 9x + 27

x3 – 3x2 + 9x – 27

x3 + 9x2 + 9x + 81

x3 – 9x2 + 9x – 81

Answer 1

I would write it in factor form.

\[(x-3)(x+3)(x-3)\]

Answer 2

multiply \[(x-3)^2(x+3)\]
by inspection it has to be one of the first 2.
Probably by inspection you could argue it is the first one since you will have a (-3)(-3)(3) to give you positive 27