Question

Which values are possible rational roots of 9x3+14x2−x+18=0 according to the rational root theorem? ±1/2

±3

±1/3

±1/18

Answer 1

Thank you for asking this question. Here is your answer:

The rational roots for this equation would be:

± 1/3 and ± 3

The reason behind is that, if we look at the rational root theorem then we can come up with the following rational roots:

The factors of 18 would be:

±1

±2

±3

±6

±9

±18

The factors of 9 are the following:

±1

±3

±9

At the end we will get the options:

± 1/3 and ±3

If there is any confusion please leave a comment below.