Which values are possible rational roots of 12x3+14x2−x+18=0 according to the rational root theorem? select each correct answer. ±14 ±23 ±92 ±19

The correct ones are  ±14  ±23  ±92

Step-by-step explanation:

Given equation,

By the rational root theorem,

The possible roots of a polynomial are,

Here, the constant term = 18 and leading coefficient = 12,

∵ Factors of 18 = 1, 2, 3, 6, 9, 18,

Factors of 12 = 1, 2, 3, 4, 6, 12,

Thus, possible roots are,

Hence, the correct answer are,

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

20

step-by-step explanation: