How do you divide #(x^3+7x^2-4x-1)/(3x-1) #? Algebra Rational Equations and Functions Division of Polynomials 1 Answer VinÃcius Ferraz Jun 5, 2017 #y = 1/3 x^2 + 22/9 x - 14/27 -41/27 frac{1}{3x - 1}# Explanation: Divide #x^3# by #3x#, the quotient is #1/3 x^2# #y = 1/3 x^2 + frac{1/3 x^2 + 7x^2 - 4x - 1}{3x - 1}# #y = 1/3 x^2 + frac{22/3 x^2 - 4x - 1}{3x - 1}# Divide #22/3 x^2# by #3x#, the quotient is #22/9 x# #y = 1/3 x^2 + 22/9 x + frac{22/9 x - 4x - 1}{3x - 1}# #y = 1/3 x^2 + 22/9 x + frac{-14/9 x - 1}{3x - 1}# Divide #14/9 x# by #3x#, the quotient is #-14/27# #y = 1/3 x^2 + 22/9 x - 14/27 + frac{-14/27 - 1}{3x - 1}# Degree above < degree below. 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 1309 views around the world You can reuse this answer Creative Commons License