Question

If a polynomial function f(x) has roots -4,2,1 and square root of 11 what must be also a root of f(x) ?

Answer choices:
- square root 11
-2
-1
4

Answer 1

Answer:

- $\sqrt{11}$

Step-by-step explanation:

Radical roots occur in conjugate pairs

Thus if $\sqrt{11}$ is a root then

- $\sqrt{11}$ is also a root

Answer 2

The other root of the given polynomial is  $-\sqrt{11}$.

What is the root of a polynomial?

"Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero."

Given roots of a polynomial f(x) are - 4, 2, 1, $\sqrt{11}$.

We know, for the root of an equation, radical roots are always in pair.

If a polynomial has two roots, one is $\sqrt{x}$ then the other one must be $-\sqrt{x}$.

Similarly, the root of the given polynomial is $-\sqrt{11}$.

Learn more about the roots of a polynomial here: https://brainly.com/question/1514617

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