Question

what should be added to the polynomial x⁴+5x³+7x²+3x+4 so that it is completely divisible by x²+2x+1

Answer 1

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Answer 2

Answer:

$(x^4+5x^3+7x^2+3x-12)/(x^2+2x+1) = x^2+3x-12$

The remainder is

$24x+16$

∴ $24x+16$ has to be added