SOLUTION: Find the remainder when (x^9 + 2x^8 + 3x^7 +�+ 9^x) is divided by (x � 1). A. 45 C. 180 B. 90 D. 360

Question 982382: Find the remainder when (x^9 + 2x^8 + 3x^7 +�+ 9^x) is divided by (x � 1).
A. 45 C. 180
B. 90 D. 360
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The polynomial you meant to write is ,
where for each term the power of and the coefficient add to .
The remainder when a polynomial is divided by is .
In this case
I could add using pencil and paper, or a calculator,
but I know that sum to be the sum of consecutive terms of an arithmetic sequence,
with the first and last of those terms being and .
So, .

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