Question

without actual division prove that X ^ 4 + 2 X ^ 3 - 2 X ^ 2 + 2 x - 3 is exactly divisible by X ^ 2 + 2 x - 3 ​

Answer 1

${x}^{4} + 2x ^{3} - {2x}^{2} + {2x}^{ - 3} \div x^{2} + {2x}^{ - 3}$

please divide it by yourself