Use long division and partial fractions to simplify the rational function(x^4+x^3−x^2−x+1) / (x^3−x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 05:09:09
Use long division and partial fractions to simplify the rational function(x^4+x^3−x^2−x+1) / (x^3−x)
x) -NUKWH,,SHKQ(H,*LQH+JL. ++gdU*d*%AJJJ4*L+Ք-̍+`,mCM} $9M"}Y 64 lO;ڞ}gHJBӶ05*<];tr*  BM׆YmlQϴN#dWlچp$AC̡Z?i>dgdzg sl

Use long division and partial fractions to simplify the rational function(x^4+x^3−x^2−x+1) / (x^3−x)
Use long division and partial fractions to simplify the rational function
(x^4+x^3−x^2−x+1) / (x^3−x)

Use long division and partial fractions to simplify the rational function(x^4+x^3−x^2−x+1) / (x^3−x)
分母:(x^3-x)=x(x^2-1)

分子:(x^4+x^3−x^2−x+1)=(x^4−x^2+x^3−x+1)=x^2(x^2-1)+x(x^2-1)+1

化简后:(x^4+x^3−x^2−x+1) / (x^3−x)=x+1+1/x(x^2-1)

Use long division and partial fractions to simplify the rational function这句话什么意思