Algebra preparation for JEE

(As I have mentioned in my previous posts, it really doesn't matter much which study material you use.. Just decide any one thing wisely, and do it completely.. It's totally useless to compare two random books.. Just pick up any one thing, have faith in it and complete it..)

You simply don't start mathematics without algebra. It's everywhere. Math is actually made up of algebra.. You don't master algebra, you cannot excel in mathematics.. I don't need to tell you the importance of algebra.. You very well might be knowing it! Coming straight to the preparation tips-
Like always I said, don't try to move fast and ignore small things.. Remember, they are are the one deciding your caliber.. Spend time in polishing your algebra mathematics. Quadratic equations is what you'll start with and mind you, never take it lightly.. Whole mathematics portion contain it. It's easy but not very much. Algebraic operations with roots is an important thing. Understand it well and learn to apply it. Maximum questions will be on sum, product of roots, no matter how advance it becomes.

JEE preparation for droppers

(First read about the tools and techniques here, then come to this post, otherwise it's of no use)

(I will also discuss whether you should give improvement exam of class 12th or not later in this post!)
This post should be the strongest one from my side, as I, being a dropper myself know what all it takes to make this decision(taking a drop) the best decision of your life! It's gonna be tough, very tough indeed, to be honest! That's why this post.. I'll try to throw light on all the mistakes, carelessness or any unknown blunder that you may commit and be protected.. You'll read about the things you can do to boost up your results, which normally people realize after they have wasted 2-3 months.. So take the most from here guys!
Note that I am assuming you did NOTHING in your 11th and 12th. If you've studied in 11th and 12th, then you definitely have an edge.. So I'm gonna categorize this post in two categories:

Should I take a drop to prepare for JEE!!

Well this post is for the ones' who are done with their boards, JEE and any other examinations. (If you haven't, then please get out! This post is not meant for you!)

Since you are reading this, it is quite obvious that your exams didn't go well.. And so, now you are thinking whether to take a drop or not. I know that you will get all types of diplomatic answers which have no use. I am gonna answer this my way! Also, I don't think any topper or teacher can answer this the way I can, because I've EXPERIENCED it. (If you don't know, I am a dropper who cleared JEE in second attempt)

                   So coming back to the question, should you take a drop or not! Actually you know the answer and what i'll do is basically dig it out! There are a lot of factors but today I'm going to cover every single one to help you decide right now!