For the polynomial given below you are given one of its zero

For the polynomial given below, you are given one of its zeros. Use the techniques in this section to find the rest of the real zeros. (Enter your answers as a comma-separated list. If there are no other zeros, enter the zero given.)x^4 - 36x^2, c = 0x = Factor the polynomial.

Solution

I don\'t know what techinque you are using, so I\'m gonna do it in the way I know :)

x⁴-36x², is a difference of squares. This is facotored like this: (x²-6x)(x²+6x).

If we do commun factor we have: (x(x-6))(x(x+6))=x²(x-6)(x+6)

So, x = 6,-6