Answer:
The polynomial would be f(x) = x^3 + 4x^2 - 5x
Step-by-step explanation:
In order to find this, start with the equations that x is equal to each of the solutions. Then solve each of those expressions for 0.
-5 = x
0 = x + 5
1 = x
0 = x - 1
0 = x
Now put each of the terms that you have in parenthesis and multiply them all together.
f(x) = (x)(x + 5)(x - 1)
f(x) = (x)(x^2 + 4x - 5)
f(x) = x^3 + 4x^2 - 5x
