Question

if you were dividing $x^6 + 4x^3 + 2$, how many 0s would you need when setting up the top row of your synthetic division? 6 2 0 4

Explanation:

Step1: List polynomial terms by degree

The polynomial is $x^6 + 0x^5 + 0x^4 + 4x^3 + 0x^2 + 0x + 2$

Step2: Count missing degree terms

Identify terms with coefficient 0: $x^5, x^4, x^2, x$

Step3: Tally the number of 0s

Count of missing terms = 4

Answer:

4