Find all the rational zeros.
-$$f ( x ) = x ^ { 4 } - 6 x ^ { 3 } - 5 x ^ { 2 } - 12 x - 14$$
A) $\pm 1 , \pm 7 , \pm 2$
B) $- 1,7 , - 2$
C) $\pm 1 , \pm 7$
D) $- 1,7$

Question

Quizplus · Accepted Answer

The rational root theorem suggests that the possible rational roots are factors of the constant term (-14) over the leading coefficient (1), which are ±1, ±2, ±7, ±14. Testing these, only -1 and 7 are actual roots.

Find All the Rational Zeros f(x)=x4−6x3−5x2−12x−14f ( x ) = x ^ { 4 } - 6 x ^ { 3 } - 5 x ^ { 2 } - 12 x - 14f(x)=x4−6x3−5x2−12x−14

Find All the Rational Zeros $f ( x ) = x ^ { 4 } - 6 x ^ { 3 } - 5 x ^ { 2 } - 12 x - 14$