Question

what must be added to x⁵ - x⁴ + 3x³ + 4x² - 3x - 3 so that the result is exactly divisible by x² + 1 ​

Answer 1

$x {}^{2} + 1)x {}^{5} + x {}^{4} +3x {}^{3} + 4x {}^{2} - 3x - 3(x {}^{3} \\ x {}^{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1x {}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - krne \: pr x {}^{5} se \: x {}^{5} cancel \: now \\ + x {}^{4} + \: \: \: \: \: \: 2x {}^{3} \: \: \: \: \: \: \: \: \: \\ \: \: \: \\ now \: hope \: u \: can \: solve \: this \: question$