After applying synthetic division twice and factoring the resulting quadratic polynomial, we can conclude that the complete factorization of the function [tex]f(x)=x^4+10x^3+35x^2+50x+24[/tex] is [tex]f(x)=(x+1)(x+2)(x+3)(x+4)[/tex]. Please check the step by step solution in the first image, and the graph of the function in the second one.
