Q.1. What must be subtracted from x4 + 1 so that x4 + 1 is exactly divisible by (x - 1). Write the resultant
polynomial which is exactly divisible by (x - 1).
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Step-by-step explanation:
(x^4 - 1) / (x-1) = (x^2 - 1)(x^2 + 1) / (x-1). {a^2 - b^2 = (a+b)(a-b)}
(x-1)(x+1)(x^2+1) / (x-1)
(x+1)(x^2+1)
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