问题
解答题
当x=1时,代数式ax5+bx3+cx+1的值是2008,当x=-1时,求代数式ax5+bx3+cx-1的值.
答案
把x=1代入ax5+bx3+cx+1得
a+b+c+1=2008,
∴a+b+c=2007,
再把x=-1代入ax5+bx3+cx+1得
-a-b-c+1=-(a+b+c)-1=-2007-1=-2008.
当x=1时,代数式ax5+bx3+cx+1的值是2008,当x=-1时,求代数式ax5+bx3+cx-1的值.
把x=1代入ax5+bx3+cx+1得
a+b+c+1=2008,
∴a+b+c=2007,
再把x=-1代入ax5+bx3+cx+1得
-a-b-c+1=-(a+b+c)-1=-2007-1=-2008.