How do you divide #( -x^3+ x^2+12x+36 )/(x - 5 )#? Algebra Rational Equations and Functions Division of Polynomials 1 Answer Alan P. Feb 24, 2016 One method would be to apply synthetic division #color(white)("XXX")-x^2-4x-8 and (-4)/(x-5)# Explanation: #{:(,,x^3,x^2,x^1,x^0),(,"|",-1,+1,+12,+36),(,"|",,-5,-20,-40),(bar(xx (+5)),bar("|"),bar(-1),bar(-4),bar(-8),bar(-4)),(,,x^2,x^1,x^0,"Remainder"):}# 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 1366 views around the world You can reuse this answer Creative Commons License