What is the remainder obtained by dividing x 7 + x 5 + 1 by the generator polynomial x 3 + 1?
Answers
I think it ur answer
-x² + x + 1 is the remainder when x⁷ + x⁵ + 1 is divided by x³ + 1
Step-by-step explanation:
x⁴ + x² - x
___________
x³ + 1 _| x⁷ + x⁵ + 1 |_
x⁷ + x⁴
_____________
x⁵ - x⁴ + 1
x⁵ + x²
______________
- x⁴ - x² + 1
-x⁴ - x
_______________
-x² + x + 1
-x² + x + 1 is the remainder when x⁷ + x⁵ + 1 is divided by x³ + 1
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