是一道英文的For any polynomial fuction of degree n,the nth differe

是一道英文的
For any polynomial fuction of degree n,the nth differences:
are equal(or constant)
have the same sign as the leading coefficient
are equal to a(nx(n-1)...x2x1),where a is the leading coefficient
希望大家能帮我解释下T T
我一点都看不懂
给到例题.
fourth difference=144
degree 4,leading coefficient 6