计算(3乘X的4次方-5乘X的3次方+X²+2)除以(X²+3)

问题描述:

计算(3乘X的4次方-5乘X的3次方+X²+2)除以(X²+3)

(3x⁴-5x³+x²+2)/(x²+3)
=(3x⁴+9x²-5x³-15x-8x²-24+15x+26)/(x²+3)
=[3x²(x²+3)-5x(x²+3)-8(x²+3)+15x+26)/(x²+3)
=3x²-5x-8 +(15x+26)/(x²+3)