Answer: 7ab
Step-by-step explanation:
The given polynomial : [tex]14a^3b^4-7ab^7+21a^2b[/tex]
The terms of the above polynomial can be written as :
[tex]14a^3b^4=(7\times2)a^{2+1}b^{3+1}=(7\times2)a^2(a)b^3b\\\\-7ab^7=-7ab^{6+1}=-7ab^6(b)\\\\21a^2b=(7\times3)a^{1+1}b=(7\times3)a(a)b[/tex]
Now, we can see that the greatest common factor of the polynomial's terms= [tex]7ab[/tex]
