List all possible rational zeros of P

Question

Let P(x) = 2x³ − 9x² − 6x + 5.

(a) List all possible rational zeros of P. (Enter your answers as a comma-separated list.) 

 

 

Answer 1

Let A = all the possible factors of 5

Let B = all of the possible factors of 2

The possible rational zeros of this polynomial P(x) will be all of the possible rational combinations of A/B (this includes negative factors) by the Rational Root Theorem.