2. Factor f (x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the graph.

f (x) = x4 - 10 x3 + 35 x2 - 50x+24 f (x) = x4 - 10 x3 + 35 x2 - 50x+24 Factor. f (x) = (x-4) (x3 - 6 x2 + 11x-6) f (x) = (x-4) (x3 - 6 x2 + 11x-6) Factor. f (x) = (x-4) ((x-3) (x2 - 3x+2)) f (x) = (x-4) ((x-3) (x2 - 3x+2)) Factor x2 - 3x+2 x2 - 3x+2 using the AC method. Tap for fewer steps ... Factor x2 - 3x+2 x2 - 3x+2 using the AC method. Tap for more steps ... f (x) = (x-4) ((x-3) (x-2) (x-1)) f (x) = (x-4) ((x-3) (x-2) (x-1)) Remove unnecessary parentheses. f (x) = (x-4) (x-3) (x-2) (x-1)