AIME 1986

Algebra Level 4

The polynomial 1x+x2x3+.....x171-x+{x}^{2}-{x}^{3}+.....-{x}^{17}

may be written in the form a0+a1y+a2y2.....+a17y17{a}_{0}+{a}_{1}y+{a}_{2}{y}^{2}.....+{a}_{17}{y}^{17}

wherey=x+1where \quad y=x+1 and ais{a}_{i}s are constant then find a2{a}_{2}

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