How do you use synthetic substitution to find f(1+i) for #f(x)=-x^3+2x^2+3x-5#? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer Alan P. Dec 20, 2015 #f(1+i) = 5i# Explanation: #{: (,"|",-1,color(white)("XX")2,color(white)("X")3,-5), (,"|",,-1-i,color(white)("X")2,5+5i), ("------------",,"------","---------","------","------"), (xx(1+i),"|",-1,1-i,color(white)("X")5,color(white)("X")color(red)(5i)) :}# 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 1844 views around the world You can reuse this answer Creative Commons License