The greatest common factor is such a term which can be taken out common from all the terms of the expression leaving behind no common term in the expression.
In the given expression the greatest common factor is 2x³
[tex]14 x^{5}+10 x^{3} \\ \\
=2 x^{3}(7 x^{2} +5) [/tex]
So, the answer to this question is option A
