Question

What polynomial has roots of -6,1, and 4

Answer 1

For this case, we have: If we have a root polynomial -6, 1, and 4. Then, the previous step was:

$(x + 6) (x-1) (x-4) = 0$

To build the polynomial we must multiply:

$(x + 6) (x-1) (x-4) =\\(x ^ 2-x + 6x-6) (x-4) =\\x ^ 3-4x ^ 2-x ^ 2 + 4x + 6x ^ 2-24x-6x + 24 =$

Adding similar terms:

$x ^ 3 + x ^ 2-26x + 24$

Answer:

$x ^ 3 + x ^ 2-26x + 24$