Question

what are the zeros of the polynomial function? f(x)=x4 2x3−16x2−2x 15 select each correct answer. responses −5 negative 5 −1 negative 1 0 0 1 1 3 3 5

Answer 1

The zeros of the polynomial function f(x) = x^4 + 2x^3 - 16x^2 - 2x + 15 are -5, -3, and 1.

Step-by-step explanation:

The zeros of a polynomial function are the values of x that make the function equal to zero. To find the zeros of the polynomial function f(x) = x^4 + 2x^3 - 16x^2 - 2x + 15, we set f(x) equal to zero and solve for x.

We can use factorization, synthetic division, or polynomial division to find the zeros. By factoring, we get (x-1)(x+3)(x+5) = 0. Therefore, the zeros of the polynomial function are x = -5, -3, and 1.