Question

What are potential roots of p(x) = x4 − 9x2 − 4x + 12

Answer 1

Answer: +/- 2,+/- 4,+/- 3,+/- 6,+/- 12

Step-by-step explanation:

they all are potential roots.

Answer 2

Hello :
 x4 − 9x2 − 4x + 12 = x²(x²-9)-4(x-3)
                               =x²(x-3)(x+3)-4(x-3)
                               = (x-3)(x²(x+3)-4)
                               = (x-3)(x3+3x²-4)
                              = (x-3)(x-1)(x²+4x+4)
x4 − 9x2 − 4x + 12 = (x-3)(x-1) (x+2)²
 potential roots is : 3 ; 1 :-2