The given function is,
[tex]f(x)=2x^2+32-72[/tex]
The function can be rewritten with the GCF removed,
[tex]f(x)=2(x^2+16-36)[/tex]
The GCF is 2.
The value of a,b and c are,
[tex]\begin{gathered} a=2 \\ b=0 \\ c=-40 \end{gathered}[/tex]
The factored form is ,
[tex]\begin{gathered} 2x^2-40 \\ =2(x^2-20) \\ =2(x+2\sqrt[]{5})(x-2\sqrt[]{5)} \end{gathered}[/tex]
The factor pair is,
[tex]\begin{gathered} a\times c=2\times(-40) \\ =-80 \end{gathered}[/tex]
The sum of factor pair is,
[tex]2\sqrt[]{5}-2\sqrt[]{5}=0[/tex]
The sum of factor pair is -b/a.
