Given that p(4)=0, p(-3)=0, and p(1)=0, which expression could be p(x)
A) x^3 +2x^2-11x-12
B) x^3 +x^2-12x-12
C) x^3-2x^2-11x+12
D) x^3-x^2-12x+12
We have ax^3+bx^2+cx+d = 0
The product of the roots is d/a = (4)(-3)(1) = -12
So, A or B
The sum of the roots is b/a, which is 4-3+1 = +2
So A