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Impossible Division? Suppose you were asked to solve the following two problems on a test :

A. Find the remainder when 6x^1000 - 17x^562 + 12x + 26 is divided by x + 1

B. Is x-1 a factor of x^567- 3x^400 + x^9 + 2?

Obviously, its impossible to solve these problems by dividing, because the polynomials are such lage degree. Use one or more theorem to solve these problems without actually dividing.

 

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