f'(x)=2x(e^(x-1)+ax+b)+x^2(e^(x-1)+a)
f'(-2)=-4(e^(-3)-2a+b)+4(e^(-3)+a)=0
f'(1)=2(e^0+a+b)+e^0+a=0
8a-4b+4a=0
b=3a
2+2a+2b+1+a=0
2b+3a+3=0
6a+3a+3=0
a=-1/3
b=3a=-1
f'(x)=2x(e^(x-1)+ax+b)+x^2(e^(x-1)+a)
f'(-2)=-4(e^(-3)-2a+b)+4(e^(-3)+a)=0
f'(1)=2(e^0+a+b)+e^0+a=0
8a-4b+4a=0
b=3a
2+2a+2b+1+a=0
2b+3a+3=0
6a+3a+3=0
a=-1/3
b=3a=-1