Thread: Polynomial division

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 .

is divided by

let be the quotient, then



add the results diagonally

Hello, luke11121!

The long division should look like this:

. .



m . . . . . . . . . . .

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.