How many positive roots does polynomial x2002+a2001x2001+a2000x2000+⋯+a1x+a0 have such that a2001=2002 and ak=−k−1 for 0\leq k \leq 2000?<spanclass=′latex−bold′>a)</span> 0<spanclass=′latex−bold′>b)</span> 1<spanclass=′latex−bold′>c)</span> 2<spanclass=′latex−bold′>d)</span> 1001<spanclass=′latex−bold′>e)</span> 2002 algebrapolynomialalgebra proposed