Compute the following polynomial in standard form:

Question

(1 + x + x^2 + . . . + x^16)(1 - x)

Answer 1

(1+x)(1-x) = 1 - x^2
(1+x+x^2)(1-x) = 1 - x^3
(1+x+x^2+x^3)(1-x) = 1 - x^4

mmmhhh???

(1 + x + x^2 + . . . + x^16)(1 - x) = ......