I provided the main options that Non-Trinitarians use to explain the verses.
Neither the answers from Non-Trinitarians nor the answers from Trinitarians are good explanations for the verses.
Elohim is the transliteration of the Hebrew word for gods, plural.
The God of the Bible is called "Gods" in every verse that uses the word Elohim.
Elohim
Main article: Elohim
A common name of God in the Hebrew Bible is Elohim (Hebrew: About this sound אלהים (help·info)). Despite the -im ending common to many plural nouns in Hebrew, the word Elohim when referring to God is grammatically singular, and takes a singular verb in the Hebrew Bible. The word is identical to the usual plural of el meaning gods or magistrates, and is cognate to the 'lhm found in Ugaritic, where it is used for the pantheon of Canaanite gods, the children of El and conventionally vocalized as "Elohim" although the original Ugaritic vowels are unknown. When the Hebrew Bible uses elohim not in reference to God, it is plural (for example, Exodus 20:2). There are a few other such uses in Hebrew, for example Behemoth. In Modern Hebrew, the singular word ba'alim ("owner", "lord", or "husband") looks plural, but likewise takes a singular verb.
A number of scholars have traced the etymology to the Semitic root *yl, "to be first, powerful", despite some difficulties with this view.[29] Elohim is thus the plural construct "powers". Hebrew grammar allows for this form to mean "He is the Power (singular) over powers (plural)", just as the word Ba'alim means "owner" (see above). "He is lord (singular) even over any of those things that he owns that are lordly (plural)."
Theologians who dispute this claim cite the hypothesis that plurals of majesty came about in more modern times. Richard Toporoski, a classics scholar, asserts that plurals of majesty first appeared in the reign of Diocletian (ce 284–305).[30] Indeed, Gesenius states in his book Hebrew Grammar the following:[31]
The Jewish grammarians call such plurals … plur. virium or virtutum; later grammarians call them plur. excellentiae, magnitudinis, or plur. maiestaticus. This last name may have been suggested by the we used by kings when speaking of themselves (compare 1 Maccabees 10:19 and 11:31); and the plural used by God in Genesis 1:26 and 11:7; Isaiah 6:8 has been incorrectly explained in this way). It is, however, either communicative (including the attendant angels: so at all events in Isaiah 6:8 and Genesis 3:22), or according to others, an indication of the fullness of power and might implied. It is best explained as a plural of self-deliberation. The use of the plural as a form of respectful address is quite foreign to Hebrew.
Mark S. Smith has cited the use of plural as possible evidence to suggest an evolution in the formation of early Jewish conceptions of monotheism, wherein references to "the gods" (plural) in earlier accounts of verbal tradition became either interpreted as multiple aspects of a single monotheistic God at the time of writing, or subsumed under a form of monolatry, wherein the god(s) of a certain city would be accepted after the fact as a reference to the God of Israel and the plural deliberately dropped.[32]
The plural form ending in -im can also be understood as denoting abstraction, as in the Hebrew words chayyim ("life") or betulim ("virginity"). If understood this way, Elohim means "divinity" or "deity". The word chayyim is similarly syntactically singular when used as a name but syntactically plural otherwise.
In many of the passages in which elohim occurs in the Bible it refers to non-Israelite deities, or in some instances to powerful men or judges, and even angels (Exodus 21:6, Psalms 8:5) as a simple plural in those instances.