A polynomial function has roots - 6 and 2. Which of the following could represent this function?

f (x) = (x + 6) (x + 2)

f (x) = (x - 6) (x - 2)

f (x) = (x - 6) (x + 2)

f (x) = (x + 6) (x - 2)

the answer is 4

Step-by-step explanation:

just did it on edge.

your welcome

f (x) = (x + 6) (x - 2)

Step-by-step explanation:

The roots of a polynomial are the solutions to its factors. This means you can set the factors equal to 0 and the roots are the solution. Working backwards, if the roots are x = - 6 and x = 2 then they must have resulted from factors x + 6 and x - 2. This is true since x + 6 = 0 has solution x = - 6. And x-2 = 0 has solution x = 2.

So the polynomial has factors (x+6) (x-2). The solution is f (x) = (x + 6) (x - 2).