Nate Y. answered 01/08/20
Friendly, Experienced Tutor for Standardized Test Prep and Coursework!
(3a + 17) is a binomial that is supposed to be one of the factors.
If you want to get to a trinomial (in the format __a2 + __a + __), pick any other binomial -- it could be (a +1) or (5a + 6) or (2a - 7), or whatever you want. That is the other one of the two factors.
Then multiple your two binomials together using FOIL (the distributive property) and see what the resulting trinomial ends up being. That will be an acceptable answer to this question.
For example I can choose (3a + 17)*(a + 1). After multiplying out 3a*a + 3a*1 + 17*a + 17*1 , I can simplify it to a trinomial.
You don't even need to find the factors since we are starting from the factored form and working forwards to the trinomial form! Your second factor will just be whatever you chose.