If the value of the fifth power +ax3+bx++1 of the algebraic expression x is 2011 when x=1, then the value of the algebraic expression ax3+bx+1 is

When x=1, the value of the fifth power +ax3+bx++1 of the algebraic expression x is 2011
1+A+b+1=2011
A+b=2009
Substitute x=-1 into ax3+bx+1 to obtain
Original formula=-a-b+1=-(a+b)+1=-2009+1=-2008

(2004•Taian) If the value of the algebraic expression ax3+bx+7 is 4 when x=1, the value of the algebraic expression ax3+bx+7 is () when x=1 A.7 B.12 C.11 D.10

Substitute x=1 into: a+b+7=4, a+b=-3,
When x=-1, ax3+bx+7=-a-b+7=-(a+b)+7=-(-3)+7=3+7=10.
Therefore, D.

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