Determine the zeros & the y-intercept of the function 3 (x-3) (x-2)

see explanation

Step-by-step explanation:

Given

y = 3 (x - 3) (x - 2)

To find the x - intercepts, let y = 0, that is

3 (x - 3) (x - 2) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 2 = 0 ⇒ x = 2

Thus the x - intercepts are x = 2 and x = 3

To find the y - intercept let x = 0 and equate for y, that is

y = 3 (0 - 3) (0 - 2) = 3 ( - 3) ( - 2) = 3 * 6 = 18

Thus the y - intercept is y = 18