How do you divide #(x^2+3)div(x+3)# using synthetic division? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer Monzur R. Sep 10, 2017 #(x^2+3)/(x+3) = x -3+12/(x+3)# Explanation: #(x^2+3)/(x+3) = (x^2+3x-3x-9+12)/(x+3) = (x(x+3))/(x+3) + (-3(x+3))/(x+3) +12/(x+3)= x -3+(12)/(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 1756 views around the world You can reuse this answer Creative Commons License