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Find the remainder of f(x) divided by x^2 - 1 when f(x) = x^10 - 8x^8+7x^4+ 8x^3-12x^2 -15x - 5.

 Jun 6, 2021
 #1
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We have
$x^{10}-8x^8+7x^4+8x^3-12x^2-15x-5 = (x^2-1)(x^8-7x^6-7x^4+8x-12)-7x-17$.
So the remainder is $-7x-17$.

 Jun 7, 2021
 #2
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/img/upload/4c296e247267535ec3e5a37b/screenshot-from-2021-06-07-16-30-24.png
 Jun 7, 2021

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