Question

A polynomial function g(x) with integer coefficients has a leading coefficient of 15 and a constant term of 3. According to the Rational Root Theorem, which of the following are possible roots of g(x)?

a. 1/3
b. -15
c. -5
d. 5

Answer 1

9514 1404 393

Answer:

a. 1/3

Explanation:

The rational root theorem tells you possible rational roots will be of the form ...

±(factor of 3)/(factor of 15)

Which will be any of ±{1,3}/{1,3,5,15} = {±1/15, ±1/5, ±1/3, ±3/5, ±1, ±3}.

Of these, 1/3 is one of the available choices.