Question

The zeros of a function are the values of x for which the function is equal to zero.
Enter a number in each blank to make true statements about the function
g(x) = (2x - 4)(x - 5).
g(x) = 0 when
=
or when x =
The graph of g Intercepts the -axis at x =
and x =
The zeros of g are
and

Answer 1

Answer:

2, 5

Step-by-step explanation:

To start, we need to set each polynomial factor equal to 0.

(2x - 4) = 0

(x - 5) = 0

Lets start with the first factor, 2x-4.

2x-4 = 0

Lets move the 4 over!

2x = 4

Now lets divide by 2!

x = 2

One of our roots of g(x) is 2.

Next lets do the x - 5 factor.

x - 5 = 0

Lets move the 5 over!

x = 5

One of our roots of g(x) is 5!

Our two roots of g(x) are 2 and 5!