Question

数学式子化简，求详细过程

第二步是怎么除的啊，3x^4/1+x^2，除不了啊

Answer 1

3x^4+2x³+4x²+2x+5

=3(x^4+x²)+2(x³+x)+(x²+1)+4
=3x²(x²+1)+2x(x²+1)+(x²+1)+4
这样明白了吧，然后除掉x²+1
即3x²+2x+1+4/(x²+1)

Answer 2

3x⁴+2x³+4x²+2x+5
=3x⁴+2x³+3x²+x²+2x+1+4
=3x⁴+3x²+2x³+2x+x²+1+4
=(3x⁴+3x²)+(2x³+2x)+(x²+1)+4
=3x²(x²+1)+2x(x²+1)+(x²+1)+4
=(x²+1)(3x²+2x+1)+4