Question

Use synthetic division to verify that -4/5 and -2 are zeros of f(x) = -50x^4 - 100x^3 + 42x^2 + 92x + 16. Use the results of synthetic division to find all solutions.

Answer 1

To verify the zeros of the given polynomial, we can use synthetic division to determine if -4/5 and -2 are indeed zeros.

Step-by-step explanation:

To Verify that -4/5 and -2 are zeros of f(x) = -50x^4 - 100x^3 + 42x^2 + 92x + 16,

we can use synthetic division. Here are the steps:

1. Create a synthetic division table using -4/5 as the first zero and perform the synthetic division.
2. If the remainder is 0, then -4/5 is a zero of the polynomial. Otherwise, it is not.
3. Repeat the same steps for -2.
4. If the remainder is 0, then -2 is a zero of the polynomial. Otherwise, it is not.

The solutions of the polynomial are the values of x for which the remainder is 0 in synthetic division.