Indeed, Satan is an enemy to you; so take him as an enemy. 
– Koran 35:6 

Satans depiction in the Bible is incomplete as it leaves out a vital piece of information – a motive.
Why would Satan attempt to jinx Adam and Eve – a pair of innocent humans posing no direct threat towards him? Why would Satan risk suffering Gods punishment by corrupting Gods newest creation? IMO, the Bibles account regarding this is incomplete and only leaves us with more questions than answers.

Islam provides the complete back story to the events in the garden. According to the Islamic account, Adam had become the target of Satans wrath, not for anything he did, but because his creation led to Satans expulsion. The story in brief is that Satan – created from fire – considered himself superior to Adam who was made of clay. Satan arrogantly argued over his Maker over this, and ended up being punished. In retaliation, Satan vowed to mislead as many humans as he could. He said “My Lord, because You have put me in error, I will surely make disobedience attractive to them on earth, and I will mislead them all. Except, among them, Your chosen servants.”- Koran 15:39 

God replied saying those who follow Satan would end up in hell and that Satan only has power over those who follow him.

Indeed, My servants – no authority will you have over them, except those who follow you of the deviators. – Koran 15:42 

And so, Satans personal mission started with Adam and Eve. The account of the garden took place after this.

One may ask if it was “right” of God to allow Satan to roam free to deceive and mislead humans. The simple answer is that Satan himself admits he has no power except over those who willingly follow him. Satan would wash his hands off even them by declaring…

I had no authority over you except that I invited you, and you responded to me. So do not blame me; but blame yourselves. – Koran 14:22