What is the polynomial in standard form with zeros of 4,1,0,0?

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