Question

Find all the zeros of the polynomial function g(x) = x^5 + 4x^4 + x^3 – 14x^2 – 20x – 8.""

Answer 1

To find the zeros of the polynomial function
`g(x) = x^5 + 4x^4 + x^3 - 14x^2 - 20x - 8`, you can use synthetic division or other methods such as factoring or a graphing calculator.

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
`g(x) = x^5 + 4x^4 + x^3 - 14x^2 - 20x - 8`, we can use various methods such as factoring, synthetic division, or using a graphing calculator.

One approach to finding the zeros is to use synthetic division to test different values for x until we find one that yields a remainder of zero. By using synthetic division, we can find that one zero of the function is x = -2.

We can then divide the original function by (x + 2) to obtain a new polynomial of degree 4. This new polynomial can be factored further or solved using other methods to find the remaining zeros.