Question

Find the divisor of x2+1 which gives the quotient as x+1 and leaves2 as remainder.

Answer 1

Dividend = Divisor*Quotient + Remainder
Rearranging,
(Dividend-remainder)/Quotient = Divisor
(x^2+1-2)/x+1 = Divisor
(x^2-1)/x+1 = (x-1)(x+1)/x+1
= x-1

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