Find the coefficient

Algebra Level 5

1x+x2x3++x16x17\large 1-x+x^2-x^3+\ldots+x^{16}-x^{17} The polynomial above may be written in the form a0+a1y+a2y2+...+a16y16+a17y17a_0 + a_1y + a_2y^2+...+a_{16}y^{16}+a_{17}y^{17} where y=x+1y=x+1 and aisa_i's are constants. Find a2a_2.


This is the part of my set Polynomialism
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