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.