设f(χ)= aχ ^5+ b χ^3+cχ+3,已知f(-3)=9,求f(3)的值.
问题描述:
设f(χ)= aχ ^5+ b χ^3+cχ+3,已知f(-3)=9,求f(3)的值.
答
f(χ)= aχ ^5+ b χ^3+cχ+3
f(-3)= a(-3) ^5+ b(-3)^3+c(-3)+3
=-3^5a-3^3b-3c+3
-3^5a-3^3b-3c+3=9
3^5a+3^3b+3c-3=-9
3^5a+3^3b+3c=-6
f(3)=3^5a+3^3b+3c+3
=-6+3
=-3