How do you use synthetic division to #f(x)=x^5-x^4+x^3-x+5#; find f(1+i)? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer Καδήρ Κ. Jul 22, 2017 #f(1+i)=2-3i# Explanation: You must divide #f(x)# with #(x-1-i)# and the remainder is equal to #f(1+i)#. 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 1856 views around the world You can reuse this answer Creative Commons License