use the rational root theorem and the factor theorem to help solve the following equation

X^4-4x^3+14x^2-19x+28=0

A) (-10, -1, 0, 1/4)
B) (-10, -1, 0, 4)
C) (+-10, -1, 4)
D) no rational solution

Question

use the rational root theorem and the factor theorem to help solve the following equation

X^4-4x^3+14x^2-19x+28=0

A) (-10, -1, 0, 1/4)
B) (-10, -1, 0, 4)
C) (+-10, -1, 4)
D) no rational solution

anonymous · Answer

no rational solution

phi · Answer

Try 0 (because it is in choice A and B, and it's easy to evaluate)
28≠0  so A and B are out.

phi · Answer

C has a -1.  That isn't too hard
1+4+14+19+28  that isn't 0
so we are left with D