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)

Question

Casey Rivers

Mathematics

22 May, 06:07

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)

+1

Answers (2)

Know the Answer?

Donavan · Answer 1

the answer is 4

Step-by-step explanation:

just did it on edge.

your welcome

Michelle Moore · Answer 2

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).

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)

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)