This Wikipedia page has a detailed example of long polynomial division. If you just need the remainder, you can use little Bézout's theorem. It says that the remainder when a polynomial is divided by or is .
hey guys
Im fairly sure ive never been taught this and i have a few assignment questions to complete and im struggling to get my head around it.
The first one is 4x^2 - 3x - 2 divided by 1 - X
Can anyone give me some tips? hopefully from this first i'll manage the rest
Thanks
This Wikipedia page has a detailed example of long polynomial division. If you just need the remainder, you can use little Bézout's theorem. It says that the remainder when a polynomial is divided by or is .
Obviously the problem you have give relates to quadratic function which can have two distinct real roots and multiplying them gives: (x-a)(x-b)=ax^2+bx+c (identity).
So if you you have been given one of the factors suppose (x-a) is already given:
Therefore,
=> (x-b)=ax^2/x-b+bx/x-b+c/x-b (where common denominator (x-b) ).
So its comparabale to arithematic. Compare above identity to below equation:
if
x*y=a
find y
=>y=a/x
So thats the idea.
Hope i helped.