Answer with explanation:
The fourth degree Polynomial is:
[tex]\rightarrow x^4-52x^2+576=0\\\\ \text{Splitting the middle term}\\\\\rightarrow x^4-36x^2-16x^2+576=0\\\\\rightarrow x^2*(x^2-36)-16*(x^2-36)=0\\\\\rightarrow (x^2-16)(x^2-36)=0\\\\\rightarrow (x-4)(x+4)(x-6)(x+6)=0\\\\x=4,-4,6,-6[/tex]
There are four real Zeroes of the forth degree Polynomial.