How do you divide #(-x^3 + 75x - 250) # by #x+10#? Precalculus Real Zeros of Polynomials Long Division of Polynomials 1 Answer Guillaume L. Aug 3, 2018 #(-x^3+75x-250)/(x+10)=-x^2+10x-25# Explanation: #(-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# \0/ Here's our answer ! Answer link Related questions What is long division of polynomials? How do I find a quotient using long division of polynomials? What are some examples of long division with polynomials? How do I divide polynomials by using long division? How do I use long division to simplify #(2x^3+4x^2-5)/(x+3)#? How do I use long division to simplify #(x^3-4x^2+2x+5)/(x-2)#? How do I use long division to simplify #(2x^3-4x+7x^2+7)/(x^2+2x-1)#? How do I use long division to simplify #(4x^3-2x^2-3)/(2x^2-1)#? How do I use long division to simplify #(3x^3+4x+11)/(x^2-3x+2)#? How do I use long division to simplify #(12x^3-11x^2+9x+18)/(4x+3)#? See all questions in Long Division of Polynomials Impact of this question 1989 views around the world You can reuse this answer Creative Commons License