Question

If a polynomial function f(x) has roots 0,4,and 3+ √11,what must also be a root of f(x) 3+i√11​

Answer 1

3 -
`√(11)`

Explanation:

Radical roots occur in conjugate pairs.

3 +
`√(11)` is a root then so is 3 -
`√(11)`

Answer 2

`3-√(11)`

Explanation:

The function
`f(x)` has a grade of 4, becaus it has 4 roots.

Now, if one of its roots is
`3+√(11)`, it means there fourth is
`3-√(11)`, because square roots have two results, one positive and one negative.

So, the function cannot have a positive square root solution and not have a negative root solution.

Therefore, the right answer is
`3-√(11)`.