Question

A polynomial function g(x) with integer coefficients has a leading coefficient of -1 and a

constant term of 15. According to the Rational Root Theorem, which of the following are
possible roots of g(x)?

Answer 1

±1,±2,±3,±4,±6,±8,±12,±24

Explanation:

Explanation: The rational root theorem can be used.

The leading coefficient is 24 and the constant term is 1.

All possible values of p are 1, 2, 3, 4, 6, 8, 12, and 24, which are the factors of the leading coefficient.

All factors of q = 1, which are the only conceivable constant term factors.

According to the theorem, any rational root of f ( x ) will be of the type p q.

The following are the possible roots of f ( x ): 1, 2, 3, 4, 6, 8, 12, and 24. Because the constant term was 1, this is a little easier than normal.