How do you use synthetic substitution to find #f(x)# for x=2 given #f(x)=7x^4-3x^3+x^2+5x-9#? Precalculus Real Zeros of Polynomials Synthetic Division 1 Answer Alan P. Nov 20, 2015 #f(2) = 93# Explanation: #{: (,"|",7,-3,+1,+5,-9), (+,"|",,14,22,46,102), (,,"-----","-----","-----","-----","-----"), (xx(2),"|",7,11,23,51,color(red)(93)) :}# 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 2603 views around the world You can reuse this answer Creative Commons License