Can you solve this using successive differences and fill out the table please?

Polynomials have constant differences equivalent to their degree. For example, linear functions have constant first differences, quadratic functions have constant second differences, and cubic functions have constant third differences, and so on, and so forth. For this packet you will be learning a generalization to this pattern we know as successive differences. 5.) Fill out the table below for the linear polynomial f(x) = ax + b . x f(x) = ax+b First Differences 0 f (0) = a(0) + b =b atb N 2a + b w 3a + b For the linear function the first difference is equivalent to