Question

Why did divisions in the Republican party occur?

because the National Progressive Party was formed by a woman


because there was a majority in both House and Senate


due to the landslide defeat to Lyndon Johnson


because conservative Republicans re-elected Taft at the party's 1912 national convention

Answer 1

Answer is: because conservative Republicans re-elected Taft at the party's 1912 national convention.
1912 National Convention of the Republican Party of the United States was held at Chicago. That was beginning of a split in the party because a power struggle between Taft and former president Theodore Roosevelt.  Roosevelt as defeted established new Progressive Party.

Answer 2

Answer:

(D) because conservative Republicans re-elected Taft at the party's 1912 national convention

Explanation: last option is correct!