How do you divide #(2x^3+4x^2-3x-6)div(x+3)# using synthetic division? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer sankarankalyanam Aug 1, 2018 #color(blue)("Quotient " Q = 2 x^2 - 2x + 3, " Remainder " R = (-15) / (x + 3)# Explanation: #" "-3 " "| " " 2" " 4 " "-3 " " -6# #" " | " " darr -6 " " 6 " " -9# #" " | - - - - - - - - - # #" "2 " "-2" " 3 " " -15# #" " | - - - - - - - - - # #color(blue)("Quotient " Q = 2 x^2 - 2x + 3, " Remainder " R = (-15) / (x + 3)# Answer link Related questions What is synthetic division? What are common mistakes students make with synthetic division? How do I find the quotient and remainder using synthetic division? How do you write the remainder in synthetic division? How do I find the quotient #(x^3+5x^2+x-15)/(x+3)# by using synthetic division? How do I find the roots of a polynomial function by using synthetic division? How can synthetic division be used to factor a polynomial? How do I use synthetic division to find #p(-3)# for #p(x)=x^4-2x^3-4x+4#? Use synthetic division to find #p(4)# for #p(x)=x^4-2x^3-4x+4#? How do you use synthetic division to evaluate #f(3)# given that #f(x)=x^3+2x^2-7x+8#? See all questions in Synthetic Division Impact of this question 5333 views around the world You can reuse this answer Creative Commons License