How do you divide #(x^3 -x^2+1 )/ (x - 1)#? Algebra Rational Equations and Functions Division of Polynomials 1 Answer George C. Mar 19, 2017 #(x^3-x^2+1)/(x-1) = x^2+1/(x-1)# Explanation: #(x^3-x^2+1)/(x-1) = (x^2(x-1)+1)/(x-1) = (x^2color(red)(cancel(color(black)((x-1)))))/color(red)(cancel(color(black)((x-1))))+1/(x-1) = x^2+1/(x-1)# Answer link Related questions What is an example of long division of polynomials? How do you do long division of polynomials with remainders? How do you divide #9x^2-16# by #3x+4#? How do you divide #\frac{x^2+2x-5}{x}#? How do you divide #\frac{x^2+3x+6}{x+1}#? How do you divide #\frac{x^4-2x}{8x+24}#? How do you divide: #(4x^2-10x-24)# divide by (2x+3)? How do you divide: #5a^2+6a-9# into #25a^4#? How do you simplify #(3m^22 + 27 mn - 12)/(3m)#? How do you simplify #(25-a^2) / (a^2 +a -30)#? See all questions in Division of Polynomials Impact of this question 1622 views around the world You can reuse this answer Creative Commons License