How do you divide #(4x^2+3x-1)div(x-3)# using synthetic division? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer sankarankalyanam Oct 16, 2017 #(4x+15) + (44 / (x-3))# Explanation: #color(white)(aa) 3 color(white) (aa) | color (white) (aaa) 4color(white) (aaa) 3 color(white) (aaa) -1# #color(white) ( aaaaa) | color(white) (aaa aaaa) 12 color (white) (aaaa) 45# # aaaaa |…………………# #color(white) ( aaaaa aaaaa) 4 color(white) (aaa) 15 color (white) (aaaa) 44# Quotient# (4x+15)#, Remainder # 44 # 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 1557 views around the world You can reuse this answer Creative Commons License