Question

find the remainder when
$xcube +3xsquare + 3x + 1is divided by 5 + 2x$
​

Answer 1

Remainder when x3 + 3x2 +3x +1 is divided by 5+2x

5 +2x= 0

x= -5/2

(-5/2)3 + 3(-5/2)2 + 3( -5/2) +1

= -125/8 + 75 /4 - 15/2 +1

= (-125 + 150 - 60 + 8)/8

=( 25 - 52)/8

= -27/8