问题 选择题

当x=3时,多项式ax5+bx3+cx-7的值为2011,则当x=-3时,多项式ax5+bx3+cx-7的值为(  )

A.2011

B.-2018

C.-2025

D.-2011

答案

∵当x=3时,多项式ax5+bx3+cx-7的值为2011,

∴ax5+bx3+cx=2011+7=2018,

∴a×35+b×33+c×3=2018,

∴当x=-3时,ax5+bx3+cx-7=a×(-3)5+b×(-3)3+c×(-3)-7

=-(a×35+b×33+c×3)-7

=-2018-7

=-2025.

故选C.

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