First, choose a=1. That will give you the sum of the coefficients. Then, choose a power of 10 that is greater than p(1) for b. That will give you the coefficients.
For example, suppose p(1)=7. Then, the sum of the coefficients is 7. Then, choose b=10. Suppose p(10)=232. Then, the polynomial is 2x^2+3x+2.
Posted by Math Man
on 2012-04-30 15:38:59