Question

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

Answer 1

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