For this case, we have: If we have a root polynomial -6, 1, and 4. Then, the previous step was:
[tex](x + 6) (x-1) (x-4) = 0[/tex]
To build the polynomial we must multiply:
[tex](x + 6) (x-1) (x-4) =\\(x ^ 2-x + 6x-6) (x-4) =\\x ^ 3-4x ^ 2-x ^ 2 + 4x + 6x ^ 2-24x-6x + 24 =[/tex]
Adding similar terms:
[tex]x ^ 3 + x ^ 2-26x + 24[/tex]
Answer:
[tex]x ^ 3 + x ^ 2-26x + 24[/tex]
