Question

Find all zeros f(x)=x^4+6x^3+173x^2+332x+164

Answer 1

The function given is,

`f(x)=x^4+6x^3+173x^2+332x+164`

To find the zeros of the function , set the function equals to zero.

`x^4+6x^3+173x^2+332x+164=0.`

We have to check for the integers for which function equals to zero.

`(-1)^4+6(-1)^3+173(-1)^2+332(-1)+164`
`1-6+173-332+164`
`338-338=0`

For x equals to -1 , the given function is zero.

Therefore, the zero of the polynomial is ,

`x=-1.`