Question

HELP

If a polynomial function f(x) has roots 3 + sqrt 5 and -6 what must be a factor of f(x)

Answer 1

b

Step-by-step explanation: Answer on EDGE

Answer 2

`(x+6)` and
`(x-3-√(5))`

Explanation:

We have been given that a polynomial function f(x) has roots
`3+√(5)` and
`-6`. We are asked to find the factor of f(x).

We know that a root of function is a point for which a given function equals zero.

We can write roots of our function as:

`x=3+√(5)` and
`x=-6`.

To find the factors of our given function, we will bring the expression on right side to left side as:

`x-3-√(5)=3+√(5)-3-√(5)`

`x-3-√(5)=0`

Similarly, we will get:

`x+6=-6+6`

`x+6=0`

Therefore,
`(x+6)` and
`(x-3-√(5))` are factors of our given function.