List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) S(x) = 6x^4 − x^2 + 3x + 12

Step-by-step explanation:

According to the rational root theorem, the all possible rational roots of a polynomial are in the form of , where p is a factor of constant and q is a factor of leading coefficient.

The given polynomial is

Here, leading term is 6 and constant is 12.

Factors of 6 are ±1, ±2, ±3 and ±6.

Factors of 12 are ±1, ±2, ±3, ±4, ±6 and ±12.

Using rational root theorem, the all possible rational roots of given polynomial is

is only a line? i think so