Answer:
On simplifing the given equation we get,


To find the zeros of the equation, consider

we get, x=0 or,

When x=1, we get 1-6+1=5-5=0
Hence x=1 is the zero of the above equation,
To find the factors, we use L division method
we get,

The coefficients of x power in decreasing order is 1,0,-6,0,5
we get,

x=1 or,

When x=-1, we get -1+1+5-5=0
Hence x=-1 is the zero of the equation.
To find the factors, we use L division method
we get,
we get,

we get, x=-1 or,

![x=\sqrt[]{5}\text{ or }x=-\sqrt[]{5}](https://img.qammunity.org/2023/formulas/mathematics/college/2zo9wciotun8piww4k31h1cjhebi3hpy7u.png)
The zeros of the given equation are,
![x=0,1,-1,\sqrt[]{5},-\sqrt[]{5}](https://img.qammunity.org/2023/formulas/mathematics/college/llws405ety51db95rfb7o30euz5fjernx8.png)