Chapter 2, Problem 12PTB

For $P\left(x\right)=x^{30}-4x^{25}+6x^2+60$, list all possible rational zeros found by the Rational Zeros Test (but do not check to see which values are actually zeros).

a. $\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 8,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,$

and $\pm 60$

b. $\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 18,\pm 20,\pm 24,\pm 30,$

and $\pm 60$

c. $\pm 1,\pm 3,\pm 4,\pm 5,\pm 6,\pm 12,\pm 15,\pm 20,\pm 30,$

and $\pm 60$

d. $\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,$

and $\pm 60$