contestada

if a polynomial function f(x) has roots 0,4,and 3+ āˆš11,what must also be a root of f(x) 3+iāˆš11ā€‹

Respuesta :

Answer:

3 - [tex]\sqrt{11}[/tex]

Step-by-step explanation:

Radical roots occur in conjugate pairs.

3 + [tex]\sqrt{11}[/tex] is a root then so is 3 - [tex]\sqrt{11}[/tex]

Answer:

[tex]3-\sqrt{11}[/tex]

Step-by-step explanation:

The function [tex]f(x)[/tex] has a grade of 4, becaus it has 4 roots.

Now, if one of its roots is [tex]3+\sqrt{11}[/tex], it means there fourth is [tex]3-\sqrt{11}[/tex], 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 [tex]3-\sqrt{11}[/tex].