Answer:
The polynomial would be x^4 - 5x^3 + 4x^2
Step-by-step explanation:
In order to find this, we need to take each answer and set it equal to x. Then we solve until it equals 0.
x = 4
x - 4 = 0
x = 1
x - 1 = 0
x = 0
x = 0
Now we have 4 of them and we simply multiply them all together.
(x)(x)(x - 1)(x - 4)
(x)(x)(x^2 - 5x + 4)
(x)(x^3 - 5x^2 + 4x)
x^4 - 5x^3 + 4x^2
