Answer:
2n^2
Step-by-step explanation:
The greatest common factor (GCF) in a polynomial is the factor by which all the terms in the polynomial can be divided. In order to find this factor, you need to completely factor both terms in the polynomial and then note down which ones they have in common:
Step 1: 4n^3 + 6n^2 (Given polynomial)
Step 2: 2*2*n*n*n + 2*3*n*n (Factor the polynomial)
Step 3: 2*2*n*n*n + 2*3*n*n (Identify shared factors)
Step 4: 2*n*n = 2n^2; the GCF is 2n^2 (Multiply the shared factors by each other to get the GCF)