已知[x-3]5=ax5+bx4+cx3+dx2+ex+f,试求a+b+c+d+e+f的值.

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已知[x-3]5=ax5+bx4+cx3+dx2+ex+f,试求a+b+c+d+e+f的值.

已知[x-3]5=ax5+bx4+cx3+dx2+ex+f,试求a+b+c+d+e+f的值.
已知[x-3]5=ax5+bx4+cx3+dx2+ex+f,试求a+b+c+d+e+f的值.

已知[x-3]5=ax5+bx4+cx3+dx2+ex+f,试求a+b+c+d+e+f的值.
a+b+c+d+e+f
=a*1^5+b*1^4+c*1^3+d*1^2+e*1+f
=(1-3)^5
=(-2)^5
=-32

X=1代入
a+b+c+d+e+f=-32

令x = 1,有-32 = a+b+c+d+e+f

[x-3]5=5x-15=ax5+bx4+cx3+dx2+ex+f
所以2,3,4,5次项系数为0
e=5,f=-15
a+b+c+d+e+f=-10