Question

Use the function: g(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function.

Answer 1

The zeros are -2, 1, and 2

Explanation:

You have to set each individual equation equal to zero.

ex: (x+2) x+2=0 move the number to the right hand side to get x alone x=-2

as for the y intercept I don't know

Answer 2

see explanation

Explanation:

g(x) = (x + 2)(x - 1)(x - 2)

To find the zeros let g(x) = 0 , then

(x + 2)(x - 1)(x - 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

The zeros are x = - 2, x = 1, x = 2

To find the y- intercept substitute x = 0 into g(x)

g(0) = (0 + 2)(0 - 1)(0 - 2) = 2(- 1)(- 2) = 2 × 2 = 4

The y- intercept is 4 or (0, 4 )