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Inter Conversion between Standard and Normal Forms

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Show that 1234^{1111}+4321^{1111} is a multiple of 5.

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If $p (x) = 2 x^{3} - 11 x^{2} - 4 x + 5$ and $g (x) = 2 x + 1$ , show that g(x) is not multiple of p(x).

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