Find all the zeros for each function.
P(x) = x^4 - 4x^3 - x^2 + 20x - 20
To find the zeros of the function P(x) = x^4 - 4x^3 - x^2 + 20x - 20, we set P(x) equal to zero and solve for x:
x^4 - 4x^3 - x^2 + 20x - 20 = 0
We can try to factor the expression, but it does not appear to have any obvious rational roots. Therefore, we can use numerical methods such as graphing or a calculator to approximate the zeros.
Using a graphing calculator, we find that the zeros of the function are approximately:
x ≈ -1.682
x ≈ 1.215
x ≈ 3.714