How do you divide #(x^3-125)div(x-5)# using synthetic division? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer sankarankalyanam Oct 12, 2017 Quotient #x^2+5x+25#, Remainder #0# Explanation: #5color(white)(a)| 1color(white)(aaaaa)0 color(white)(aaaaa)0color(white)(aaaaa)#-125 #color(white)(aa)| color(white)(aaaaaa) 5 color(white)(aaaa) 25 color(white)(aaaaa) 125# #color(white) (aa)|……………………………………… # # color(white) ( aaaa) 1 color(white) (aaaaa) 5 color(white) (aaaa )25 color(white)(aaaaaaa ) 0# Quotient #x^2+5x+25#, Remainder #0# 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 3405 views around the world You can reuse this answer Creative Commons License