Algebra-2

When performing synthetic division, the number of zeros needed in the top row corresponds to the degree of the polynomial being divided, minus the degree of the divisor polynomial.

In your case, the polynomial you want to divide is

 

Step 1: Identify the degree of the polynomial

The degree of the polynomial is 5, as the highest power of (x) is 5.

 

Step 2: Check for missing terms

Next, we need to express this polynomial in standard form, where all degrees from the highest down to zero are represented. In this polynomial, the missing terms are  and x.

 

Step 3: Rewrite the polynomial

To rewrite the polynomial with all terms represented, we can express it as: