polynomial function

Question

Determine all the possibilities for rational zeros. (Enter your answers as a comma-separated list.)

3x⁵ − 20x³ + 20x² + 4x − 2 = 0

Answer 1

Factoors of 3: ±1, ±3

Factors of - 2: ±1, ±2

List of possible rational zeros: ±1, ±2, ±1/3, ±2/3

Answer 2

Recall the Rational Root Theorem which states that the ratio between a factor of the last term and a factor of the first term of a polynomial is a possible rational zero.

Hence, the possible rational zeroes are ±2/3, 2/1, ±1/3, and ±1/1. Hope this helped!