Which of the following options is a root of the function? f (x) = (3x + 5) (x2 - 6x + 9) 2

The roots of the function are x = - 5/3 and 3. Select these.

Step-by-step explanation:

The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.

f (x) = (3x+5) (x2-6x+9) 2 becomes f (x) = (3x+5) (x-3) ^2

Set each factor equal to 0 and solve for x.

(3x+5) = 0

3x = - 5

x = - 5/3

(x-3) ^2 = 0

x - 3=0

x = 3