We have to find the greatest common factor from the given expression. The greatest common factor is such a term which can be taken out common from each term of the expression leaving behind no common element between the terms of the expression.
If you observe the given polynomial, you will see that the greatest common factor is 7x. So the factorization of the polynomial will be:
[tex]7 x^{5} +49 x^{2} +28x \\ \\
=7x( x^{4} +7x+4)[/tex]
So option A gives the correct answer to the question
