To determine how many zeros you need in the top row of synthetic division for the polynomial , we follow a similar process as before.
Step 1: Identify the degree of the polynomial
The degree of the polynomial is 4, since the highest power of (x) is 4.
Step 2: Check for missing terms
Next, we need to express this polynomial in standard form, which includes all degrees from the highest down to zero. In this polynomial, we can see that the terms for and are missing.
Step 3: Rewrite the polynomial
To rewrite the polynomial with all terms included, it would look like: