How to find the summation fo all coefficients of a polynomial on this form How to find the summation of all coefficients of a polynomial on this form $$(a_0+a_1x+a_2x^2+...+a_nx^n)^m$$
For Example: For m=2,n=1,a0=10,a1=3 the polynomial (10+3x)^2 = 100+9x2+60x so the sum of the coefficients = 100+9+60=169.

When all the terms are expanded, to get the sum of the coefficients you put
$x=1$ and evaluate. So just do that at the start and you get
$(\sum_{k=0}^n a_k)^m$.
