Write the equation in standard form of the polynomial that has zeros at x=±6i

Step-by-step explanation:

We want to find the equation in standard form for a polynomial that has zeros at x=6i and x=-6i.  

So, we will have the two factors:

So, our polynomial will be:

Distribute:

Distribute:

Combine like terms:

Remember that i²=-1. Hence:

Simplify. So, our polynomial is:

a² + b²= c²

24² + 7² = c²

c= 25