plz explain it to me, i dont understand :(
P(x) is a Polynomial. when P(x) is divided by x-1, the reminder is 4.When P(x) is divided by x+2, the reminder is -5.Find the reminder of P(x) divided by (x-1)(x+2).

Question

anonymous · Answer

i think you can go about this way,

m(x-1) + 4= p(x), n(x+2) -5= p(x)..  so what is a(x-1)(x+2) -p(x)=?

anonymous · Answer

m, n and 'a' being the respective quotients!

anonymous · Answer

good idea Mashy!

anonymous · Answer

My textbook says that
P(x)=(x-1)(x+2)q(x)+(ax+b) where q(x)is polynomial and a, b are constant 
how can i get to this step?

anonymous · Answer

thats just another way of what i said.. !..so you directly go with that