If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3)) (x-(5-root3))

or is a factor of the given polynomial.

Step-by-step explanation:

Let us learn the concept with an example first.

Let the polynomial be a quadratic function .

The roots of are 2 and 3.

Putting

Putting

Putting x = 2 or x = 3, g(x) = 0 The roots of equation g(x) are 2 and 3.

Now, let us try to factorize g(x):

so, the equation can be written as:

where 3 and 2 are the roots of equation.

The factors are (x-3) and (x-2).

for the polynomial f(x) which has roots will have a factor:

or

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right