Bài 2:P(1)=1+a+b+c+d+e=1 (1)
P(2)=25+24a+23b+22c+2d+e=4 (2)
P(3)=35+34a+33b+32c+3d+e=9 (3)
P(4)=45+44a+43b+42c+4d+e=16 (4)
P(5)=55+54a+53b+52c+5d+e=25 (5)
Lấy P(5)−2P(3)+P(1)
P(4)−P(3)−P(2)+P(1)
P(3)−2P(2)+P(1)
{55−2.35+1+(54−2.34+1)a+...+(52−2.32+1)c=845−35−25+1+(44−34−24+1)a+...+(42−32−22+1)c=435−2.25+1+(34−2.24+1)a+...+(32−2.22+1)c=2
⇔{464a+72b+8c=−2632160a+30b+4c=−74650a+12b+2c=−178
⇒{a=−15b=85c=−224⇒{e+d=154e+2d=428⇒{e=−120d=274
⇒{P(6)=156P(7)=769P(8)=2584P(9)=6801