SOLUTION: What is the remainder when 6x^4-3x^5+2x^3+x-3 is divided by x+1? Thank you!

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Question 678787: What is the remainder when 6x^4-3x^5+2x^3+x-3 is divided by x+1?
Thank you!
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!

...
(x+1) goes into -3x%5E5%2B6x%5E4: -3x%5E4
to get
-3x%5E5+-+3x%5E5
subtracting
-3x%5E5+-+-3x%5E5+%2B+6x%5E4+-++-3x%5E4
yielding
9x%5E4
...
(x+1) goes into 9x%5E4%2B2x%5E3: 9x%5E3
to get
9x%5E4+%2B+9x%5E3
subtracting
9x%5E4+-+9x%5E4+%2B+2x%5E3+-+9x%5E3
yielding
-7x%5E3
...
(x+1) goes into -7x%5E3%2Bx : -7x%5E2
to get
-7x%5E3+-+7x%5E2
subtracting
-7x%5E3+-+-7x%5E3+%2B+x+-+7x%5E2
yielding
x - 7x^2
...
(x+1) goes into -7x%5E2+%2B+x+-+3: -7x
to get
-7x%5E2+-+7x
subtracting
-7x%5E2+-+-7x%5E2+%2B+x+-+-7x+-+3
yielding
8x-3
...
The remainder is 8x-3
.....................
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