数学奇偶数学问题,急已知f(x)=(m^2
已知f(x)=(m^2-1)x^2+(m-1)x+n+2为奇,求m,n。 本人在线等待,回答好的,追加高分,急
f(x)为奇函数 ==> f(-x)=-f(x), f(0)=0 f(0)=n+2=0 ==> n=-2 f(-x)=-f(x) ==>(m^2-1)x^2-(m-1)x+n+2=-[(m^2-1)x^2+(m-1)x+n+2] ==> m^2-1 =0, m=1,-1 (m,n)=(1,-2),(-1,-2)