How do you divide #(-x^3 + 75x - 250) # by #x+10#?

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Answer 1 · 2018-08-03T18:24:37

#(-x^3+75x-250)/(x+10)=-x^2+10x-25#

#(-x^3+75x-250)/(x+10)#

#=(-x^2(x+10)+10x^2+75x-250)/(x+10)#

#=(-x^2(x+10)+10x(x+10)-25x-250)/(x+10)#

#=(-x^2(x+10)+10x(x+10)-25(x+10))/(x+10)#

#=-x^2+10x-25#

#=-(x+5)²#

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