Mathematics
Senior High
項の係数を求める問題です。
X^3の項は2p+q=3のところから分かりません
(1) (x²+x+1)5 [x³]
一般項は
5:
GSP. x 8.1"
PIB:Y!
(P + q + r = 5 @ P30, 930, V ²0 )
犬の項は 2P+q=3... ②.
@ +² & = 3-2P & 30 +₁1 3-2 P30, PEZ
:. P = 0₁1.
P = 0 a 2 = q = 3, r = 2
5!
よって係数は
01312!
P=10c² 8 = 1₁ r = 3
51
1: 1:3! = 10 + 20 = 30
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