An algebra problem by Sabhrant Sachan

Algebra Level 4

$\large (1-x)(1-2x)(1-2^2x)(1-2^3x) \cdots(1-2^{15}x)$

Find the coefficient of $x^{15}$ when the product above is expanded.

2^{110}-2^{108}

2^{120}-2^{104}

2^{105}-2^{121}

2^{121}-2^{105}

1 solution

Kevin Bkx
Mar 31, 2017

C is the only answer with negative value. Coefficient of X^15 must be a negative value tho... haha