Question

what must be added to a
$a {}^{4} + 2a {}^{3} - 2a {}^{2} + a - 1 divisible \: a {}^{2} + 2a - 3$
,so that the resulting polynomials is exactly

Answer 1

Hey there


We know

p ( x ) = g ( x ) × q ( x ) + r ( x )

Here if we divide p (x ) by g ( x ) then we will get r ( x ) if we add r ( x ) over here then it will be completely / exactly Divisible

for further please see Attached image

Hope this would help you !!