Can we conclude that x - 4 is a factor of the polynomial 4x^3-20x^2+18x-12?

How do you know?

The answer to your question is: x - 4 is not a factor

Step-by-step explanation:

x - 4 is a factor of 4x³ - 20x² + 18x - 12

We can do synthetic division to know if it is a factor

4 - 20 + 18 - 12 4

16 - 16 8

4 - 4 + 2 - 4

x - 4 is not a factor because there was a residue of - 4