Question

Can you copy my photo and put the answers in the boxes??

Answer 1

The given function is,

`f(x)=2x^2+32-72`

The function can be rewritten with the GCF removed,

`f(x)=2(x^2+16-36)`

The GCF is 2.

The value of a,b and c are,

`\begin{gathered} a=2 \\ b=0 \\ c=-40 \end{gathered}`

The factored form is ,

`\begin{gathered} 2x^2-40 \\ =2(x^2-20) \\ =2(x+2\sqrt[]{5})(x-2\sqrt[]{5)} \end{gathered}`

The factor pair is,

`\begin{gathered} a* c=2*(-40) \\ =-80 \end{gathered}`

The sum of factor pair is,

`2\sqrt[]{5}-2\sqrt[]{5}=0`

The sum of factor pair is -b/a.