Which values are possible rational roots of 9x^3+14x^2-x+18=0 according to the rational root theorem? select each correct answer. ±3 ±1/18 ±1/3 ±1/2

ANSWER

The possible rational roots are  and

EXPLANATION

According to  the rational roots theorem, the possible rational roots of

is given by all the possible factors of which are

expressed over all the possible factors of the coefficient of the highest degree of the polynomial which is   which are

in their simplest form.

One of this possible ratios are from the factors of 18, over from the factors of 9.

This will give us

.

Another possible rational root is

.

Hence the correct options are

A and C.

Secrete: Check if the denominator is a factor of 9 and the numerator is also a factor of 18, then these are the correct answers.

the correct answer is 5 6 and 7