13a+b+2c=0
=>13a+2c=-b
\(f\left(-2\right)=a\cdot\left(-2\right)^2+b\cdot\left(-2\right)+c\)
=4a-2b+c
=4a+c+2(13a+2c)
=4a+c+26a+4c=30a+5c
\(f\left(3\right)=a\cdot3^2+b\cdot3+c\)
=9a+c+3(-13a-2c)
=9a+c-39a-6c
=-30a-5c=-(30a+5c)
\(f\left(-2\right)\cdot f\left(3\right)=\left(30a+5c\right)\cdot\left(-1\right)\cdot\left(30a+5c\right)=-\left(30a+5c\right)^2\le0\)
=>ĐPCM










