If you want to divide polynomials, you do it sorta like long division. Let’s take: for this purpose, | will be the symbol for long division, like the |‾‾‾‾ symbol in gradeschool.
__x__+__6____
x-2 | x^2 + 4x + 3 so x goes into x^2 once. now we multiply x by the entire left-side polynomial.
-(x^2 - 2x) x * x-2 = x^2-2x
0 - 6x + 3 6 b/c 4- -2 = 4+2; carry down the 3.
- (6x - 12) 6*x-2 = 6x - 12
0 + 15 remainder of 15.
Answer: x+6+(15/x-2)