...................2x + 1

x - 3 | 2x^2 - 5x + 1

.........2x^2 - 6x

....................x + 1

....................x - 3

..........................4

answer is 2x + 1 + [4 / (x - 3)]

This is like doing long division except it involves variables. First, divide 2x^2 by x which gives you 2x as your answer. Now, multiply 2x by x - 3. That's where 2x^2 - 6x came from. However, you must change the sign after you do that. That's how I came up with x. Then bring down the 1 and you come up with x + 1 and start the process again. The answer isn't just 2x + 1. It has the remainder.

Please write this as (2x^2-5x+1)(x-3)

anyone that knows anything about math can read this format. People that speak english as a 2nd, 3rd or 4th languages will struggle with what you mean.

Just FOIL it.....google this "FOIL Factoring"