Question

A polynomial has been factored, as shown below: f(x) = (x − 9)(x + 12)(x − 24) What are the zeros of the polynomial? (5 points) a −9, 9, −12, 12, −24, 24 b −9, 12, −24 c 9, −12, 24 d 9, 12, 24

Answer 1

C

Explanation:

Answer 2

The answer is Option c

9, -12, 24

Explanation:

We have the polynomial:

`f(x) = (x - 9)(x + 12)(x - 24)`

To find the zeros we must equal
`f(x) = 0`

So:

`(x - 9)(x + 12)(x - 24) = 0`

Then the previous expression is equal to zero in any of these 3 cases:

Case 1

`(x-9) = 0\\x = 9`

Case 2

`(x + 12) = 0\\x = -12`

Case 3

`(x-24) = 0\\x = 24`

Then
`f(x) = 0` if
`x = 9` or
`x = -12` or
`x = 24`

The answer is 9, -12, 24