Question

Given the function f(x)=x^4+10x^3+35x^2+50x+24 , factor completely. Show all work and steps. Then sketch the graph.

Answer 1

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