Question

Write all of the potential roots of:

p(x) = x^4 − 9x^2 − 4x + 12

Answer 1

2,4,3,6,12

Explanation:

i just did it.

Answer 2

Steps

So to find the potential roots, we will be using the rational root theorem. The rational root theorem is
`\pm (p)/(q)` , with p = factors of the constant and q = factors of the leading coefficient. In this case, our constant is 12 and our leading coefficient is 1:

`p=1,2,3,4,6,12\\q=1\\\\\pm(1,2,3,4,5,6,12)/(1)\\\\\pm1,\pm\ 2,\pm\ 3,\pm\ 4,\pm\ 6,\pm\ 12`

Answer

In short, our potential roots are: ± 1, ± 2, ± 3, ± 4, ± 6, and ± 12.