How do you use synthetic division to divide #x^3-2x^2+2x-5# divided by (x-1)? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer Noah G Aug 9, 2016 #x - 1 =0 -> x= 1# #1"_|1 -2 2 -5"# # " 1 -1 1"# #"--------------------------------------"# #" 1 -1 1 -4"# #:.(x^3 - 2x^2 + 2x - 5)/(x - 1) = x^2 - x + 1# with a remainder of #-4#. Hopefully this helps! 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 4205 views around the world You can reuse this answer Creative Commons License