1. How many cubic polynomials f(x) are there such that f(x) has nonnegative integer coefficients and f(1) = 9?

2. How many ordered quadruples (a,b,c,d) satisfy, a + b + c + d = 18,

where a,b,c,d are integers such that |a|, |b|, |c|, |d| are each at most 10?

Guest May 16, 2020