Question

What must be subtracted from 4x4-2x3-6x2+x-5 so that the result is exactly divisible by 2x2+x-1?

Answer 1

$let \: y \: be \: subtracted \: from \: the \: equaton \\ {4x}^{4} - {2x}^{ 3} - {6x}^{2} + x - 5- y = {2x}^{2} + x - 1 \\ {4x}^{4} - {2x}^{3} - {8x}^{2} - 5 = y$