fraction, Mathematics

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Congruence, a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) U...

a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n   - 1 for all integers n ≥ 0.

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Before taking up division of polynomials, let us acquaint ourselves with some basics. Suppose we are asked to divide 16 by 2. We know that on dividing 16 by

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2, -8, 32, -128, ?, ?, ?, what are these next 3?

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