Find the remainder when x3 - 5x2 + 10x - 15 is divided by x + 3

Question

anonymous · Answer

its -117

anonymous · Answer

thanks but i need to see how it's done.

anonymous · Answer

its simple
you should use long division

anonymous · Answer

if you wish i can help you do that

anonymous · Answer

it would help if you did :)

anonymous · Answer

that way with a visual i can see how to do the other questions

anonymous · Answer

it is simpler than long division 
compute $f(-3)$ for your answer

anonymous · Answer

@satellite73 i had that to begin with, so do i just replace -3 for x?

anonymous · Answer

the remainder when you divide by $x+k$ is $f(-k)$ so the remainder when you divide by $x+3$ is $f(-3)$ 
plug it in, see what you get

anonymous · Answer

yes, evaluate the function at $-3$ and that will be the remainder

anonymous · Answer

you can also use synthetic division or god forbid long division 
but it is the same either way

anonymous · Answer

what am i supposed to get in the end?