How do you divide #(3x^2+11x+1)div(x-3)# using long division? Precalculus Real Zeros of Polynomials Long Division of Polynomials 1 Answer Barney V. Mar 27, 2017 quotient#color(blue)(=3x+20# and remainder#color(blue)(=60# Explanation: # color(white)(aaaaaaaaaa)##color(blue)(3x+20# #color(white)(aaaaaaaaaa)##------# #color(white)(aaaa)x-3##|##3x^2+11x+1##color(white) (aaaa)##∣##color(blue)# #color(white)(aaaaaaaaaa)##3x^2-9x##color(white)# #color(white)(aaaaaaaaaa)##----# #color(white)(aaaaaaaaaaa)##0+20x+1# #color(white)(aaaaaaaaaaaaaa)##20x-60# #color(white)(aaaaaaaaaaaaaaaaa)##---# #color(white)(aaaaaaaaaaaaaaaaa)##0+60# remainder is #color(blue)(=60# and the quotient is #color(blue)(=3x+20# 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 2499 views around the world You can reuse this answer Creative Commons License