1) Given that p(-3), p(-1), and p(5)=0, which expression could be p(x)?

Question

A)x^3-x^2-17x-15
B)x^3+x^2-17x+15
C)x^3-3x^2-13x+15
D)x^3-9x^2+23x-15

How do I solve it? Please help

Answer 1

Recall that for a cubic polynomial
ax^3+bx^2+cx+d, the sum of the roots is -b/a.

The sum of the roots is -3-1+5 = 1
So, only A is the answer.