What are the possible rational zeros of f(x) = x4 + 2x3 – 3x2 – 4x + 18 ?

The possible rational roots are ±1, ±2, ±3, ±6, ±9, ±18

Step-by-step explanation:

Given:

We need to find all possible rational root of the given function.

Using rational root theorem test.

We have to factor the leading coefficient and constant term

Leading coefficient : 1

Constant term : 18

Factor of 18 (p): 1,2,3,6,9,18

Factor of 1 (q) : 1

We will divide each factor of 18 by each factor of 1.

Possible rational root:

Rational roots are:

Hence, The possible rational roots are ±1, ±2, ±3, ±6, ±9, ±18