x^6+x^4-x ^2+1 by x-2
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Complete Question :-
Find the reminder when
x⁶ + x⁴ - x² + 1 is divisible by x - 2
Solution :-
Let us assign :-
p(x) = x⁶ + x⁴ - x² + 1
g(x) = x -2
By solving g(x) further
x = 2
Now by using reminder theorem.
Replacing "x" = 2 in p(x)
→ p(2) = 2⁶ + 2⁴ - 2² + 1
→ p(2) = 64 + 16 - 4 + 1
→ p(2) = 81 - 4
→ p(2) = 77
So reminder when x⁶ + x⁴ - x² + 1 is divided by x - 2 = 77
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