I have don't understand how to solve problems like this:I try to write them like this:When we dividef(x)by(x-1),(x-2)and(x+1)the remainders are3,7and5. Find the remainder off(x)dividedby(x-1)(x-2)(x+1).

f(x)=P*(x-1)+3

f(x)=Q*(x-2)+7

f(x)=R*(x+1)+5

To get a result like this after some manipulation:

f(x) =S*(x-1)*(x-2)*(x+1)+y

But I can't.

Help me please.