Question

I need help on this Homework question and also please give the steps on what lead to the answer.

Answer 1

The function is given by:

`f(x)=x(x^2+7)(x^2-8)`

The three quantities are zero then it follows:

`\begin{gathered} x=0;x^2+7=0;x^2-8=0 \\ x=0;x^2=-7;x^2=8 \\ x=0,x=\pm\sqrt[]{7}i;x=\pm2\sqrt[]{2} \end{gathered}`

Option D is correct.