In factored form, the cubic polynomial defined by y = 2x^3 - 14x^2 + 30x - 18 can be written as y = 2(x-3)^2 (x-1). From the list given, select all zeros of the function.
A) 1
B) 2
C) -18
D) (1,0)
E) 3
F) (3,0)

Respuesta :

To find the zeros of the function, we need to find the values of \( x \) where the function \( y = 2x^3 - 14x^2 + 30x - 18 \) equals zero.

From the factored form \( y = 2(x-3)^2 (x-1) \), we can see that the zeros occur when \( x = 3 \) and \( x = 1 \). So, the zeros are \( x = 3 \) and \( x = 1 \).

Therefore, the correct options are:

- A) 1

- E) 3