Question

According to the rational root theorem, which answer is not a possible rational root of x^3+9x^2-x+8=0

8

1

6

2

Answer 1

6

Explanation:

The rational root theorem states that the roots must be factors of p/q

where p is the constant and q is the coefficient of the highest order term

p = 8 which has factors ±1, ±2,±4,±8

q = 1 which has factors ±1

The possible roots are ±1, ±2,±4,±8

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±1

which simplifies to

±1, ±2,±4,±8

6 is not a possible root