Question

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

Answer 1

its -117

Answer 2

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

Answer 3

its simple
you should use long division

Answer 4

if you wish i can help you do that

Answer 5

it would help if you did :)

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

yes, evaluate the function at \(-3\) and that will be the remainder

Answer 11

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

Answer 12

what am i supposed to get in the end?