Question

When a polynominal P(x) is divided by x-1 , the remainder is 3, when divided by x+2 , the remainder is 6, and when divided by x-3, the remainder is 11.
Find the remainder when P (x) is divided by (x-1)(x+2)(x-3).
Show Your Work
PLZ HELP ME UNDERSTAND IT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Help PLZ ?!

Answer 2

okay so first

Answer 3

Yeah

Answer 4

remainer means when u do synthetic division you get some numbers +3/x+2
when u divide by x+2

Answer 5

3/(x-1*)

Answer 6

kk

Answer 7

Wait WAT?!?!

Answer 8

and when u divide by (x+2) you get ...+6/(x+2)

Answer 9

oH ok now

Answer 10

by x-3, the remainder is 11.
so ....+11/(x-3)

Answer 11

yeah

Answer 12

so lets see what happens when u divide by all of them at once

Answer 13

k