I want to point out some good reads in scriptural understanding here, and I’ll focus on the Bible since it’s the primary book of scripture on which other Mormon scripture comments, quotes, or critiques.
Probably the most familiar books in the Bible for Latter-day Saints are Genesis and the New Testament Gospels. Genesis is part of the Pentateuch or the first five book of the Old Testament, Genesis, Exodus, Leviticus, Numbers, Deuteronomy. The current state of scholarship in the Pentateuch consists of three main approaches.
1. Arguing for the five books as a single source/author text, such readings require the use of considerable literary harmonization techniques. This is a classical reading (sometimes called the pre-critical perspective) and a position that many conservative Jews and Christians may still hold. But this position has little support among scholars of the text. It’s one that some Mormon thinkers argue for, but I believe that kind of thinking is based largely on an unwillingness to consider other ways of thinking about the nature of revelation and scripture. In spite of a few adherents among scholars, it has not been effective in providing a helpful critical understanding of the Bible in the large, and most examples of the idea are confined to relatively small sections of text.
2. The Documentary Hypothesis (DH), a popular title for what is the employment of “source criticism.” Source criticism is a fascinating exercise in trying to understand the nature of text creation, though it is not without its difficulties. For the Pentateuch, source critics have generally identified preexisting texts that were at some point combined to give the present text of the Pentateuch. The generally agreed on sources are designated J, E, D, P, for Yahwist, Eloist, Deuteronomist, Priestly. For example, Genesis chapters 1 and 2 have sources respectively in the P and J traditions.
3. Another approach to the first five books is the supplementarian methodology. The idea to hunt down the smallest sections of text that function as coherent literature. Then these independent units of text are traced outward to the final form of the Pentateuch. That is, one examines how these bits are expanded (supplemented) over time. These expansions are seen as textual shifts resulting from some ideological position that seeks to incorporate its view into the text. The Abraham story and Joseph story are examples. The method has been used to provide an analysis of the entire text.
Though there are fundamental differences in these theses, they agree on a number of things. For example, 2 and 3 postulate a P source and a D source. These approaches are hypotheses because (for example) no one has found an ancient P text. Its existence is inferred.
There are some really great and accessible books and articles here that a reasonable-sized library will have, or you can buy on Amazon, say (though these sorts of volumes can be expensive). I’ll just point out one that I’ve read a few times (it deserves multiple readings I think):
Joel Baden, The Composition of the Pentateuch: Renewing the Documentary Hypothesis (New Haven: Yale University Press, 2012).
Baden’s book is a very reasonable read for the interested non-expert, though critiquing many of his claims probably requires some good background in biblical studies. In other words, Baden’s book has its own difficulties, but it’s a wonderful introduction to some of the modern methods in the critical reading of scripture.
Before approaching Baden, I highly recommend some material from the Neal A. Maxwell Institute of Religious Scholarship at BYU. Namely two excellent podcast interviews by our own Blair Hodges. One is a conversation with Jewish scholar Marc Brettler. Blair helps Marc explain some of the ideas and terminology in modern scripture study. The next interview is with Evangelical scholar Peter Enns. Blair’s questions that guide the discussion are really (though mostly implicitly) helpful in situating scripture study from a Mormon point of view.
 Have look here for more details. The current version of the DH is called the “neo-documentary hypothesis” since it differs from the classical theory first expounded by German scholars of the late 19th century. Another great source for an LDS audience is David Bokovoy’s Authoring the Old Testament (Salt Lake City: Greg Kofford Books, 2014). See Kevin Barney’s review here.
 Many of these ideas have application well beyond biblical issues. For example, they form very useful templates for discussing and understanding early Mormon literature, like sermons!