(3x^3+10x^2+13x-27)除以(x^2+2x-3)

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(3x^3+10x^2+13x-27)除以(x^2+2x-3)(3x^3+10x^2+13x-27)除以(x^2+2x-3)(3x^3+10x^2+13x-27)除以(x^2+2x-3)3x^3+10

(3x^3+10x^2+13x-27)除以(x^2+2x-3)
(3x^3+10x^2+13x-27)除以(x^2+2x-3)

(3x^3+10x^2+13x-27)除以(x^2+2x-3)
3x^3+10x^2+13x-27
=3(x^2+2x-3)+4x^2+22x-27
=3x(x^2+2x-3)+4(x^2+2x-3)+14x-15
所以原式=3x+4余14x-15

x^2+2x-3=(x-1)(x+3)
3x^3+10x^2+13x-27
当x=1时,值为3+10+13-27=-1,分子无(x-1)因式
当x=-3时,值为-81+90-39-27不等于0 ,分子也无(x+3)的因式
所以这个分式不能约分化简

(3x³+10x²+13x-27)/(x²+2x-3)=3x+4+(14x-15)/(x+3)(x-1)
如果题目是;
(3x³+10x²+13x-26)/(x²+2x-3)=[3x²(x-1)+13x(x-1)+26(x-1)]/(x+3)(x-1)=(3x²+13x+26)/(x+3)