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alina1380 [7]
3 years ago
13

Find the remainder when x^30-2x^3+5 is divided by x+1.

Mathematics
1 answer:
pogonyaev3 years ago
5 0

Step-by-step explanation:

x³⁰ - 2x³ + 5 / x + 1 = x²⁹-x²⁸+x²⁷-x²⁶+x²⁵ ... -x⁴+x³

- x³⁰ + x²⁹ -3x²+3x-3

-----------------------

0 - x²⁹-2x³

- - x²⁹-x²⁸

-----------------------

0 x²⁸-2x³

...

- -x⁵-x⁴

----------------------

0 x⁴-2x³

- x⁴+ x³

-----------------------

0 -3x³+5

- -3x³-3x²

-----------------------------

0 3x²+5

- 3x²+3x

-----------------------------------

0 -3x+5

- -3x -3

------------------------------------

0 + 8

the remainder is 8

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