Answer :
A is a goal, but not a progressive goal, so A is discarded as a correct answer. And we can say the same thing to B.
Although breaking easing the requirements to become a U.S. citizen might be seen nowadays as a progressive goal, it was not the case back in William Howard Taft's time and it certainly was not his goal. So it can't be D either.
So in the end, we have C. breaking up business trust and giant monopolies.
and he did, like his predecessor Teddy Roosevelt.
The correct answer is C) breaking up business trusts and giant monopolies.
The progressive goal pursued by President William Howard Taft was breaking up business trusts and giant monopolies.
President Taft used the Sherman Anti-trust Act to break up monopolies and regulate big business in America, as was the case of the Standard Oil company owned by Jonh Rockefeller or the Steel Company of Andrew Carnegie. President Taft was determined to prosecuting antitrust violators.