SOLUTION: How do i determine the remainder when 5w^3-2w+10 is divided by w+3?

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Question 175169: How do i determine the remainder when 5w^3-2w+10 is divided by w+3?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
5w%5E3+-+2w+%2B+10divided by w+%2B+3
You keep going until there's nothing left to divide
into.
1st partial result:
5w%5E2
%28w+%2B+3%29%2A5w%5E2+=+5w%5E3+%2B+15w%5E2
Subtract and you're left with -15w%5E2
2nd partial result:
-15w
%28w+%2B+3%29%2A%28-15w%29+=+-15w%5E2+-+45w
Subtract and you're left with 43w
3rd partial result:
43
%28w+%2B+3%29%2A43+=+43w+%2B+129
Subtract and you're left with -119
The answer is:
5w%5E2+-+15w+%2B+43+-+119%2F%28w%2B3%29
-119 is the remainder
%28w+%2B+3%29%2A%285w%5E2+-+15w+%2B+43+-+119%2F%28w%2B3%29%29
gives me the original equation