Given the factors, name the roots.

3. f (x) = - 3 (2x - 5) (x + 2)

x = 5/2

or

x = - 2

Step-by-step explanation:

recall that the roots of a function f (x) are basically the values of x that will make f (x) = 0,

we find these values of x by making f (x) = 0 and then solving the equation for x,

in our case,

f (x) = - 3 (2x - 5) (x + 2)

to find roots,

f (x) = 0

-3 (2x - 5) (x + 2) = 0

Equating each factor = 0, the equation can be broken down into:

-3 = 0 (obviously not valid, hence we can ignore this)

or

(2x - 5) = 0 add 5 to both sides

2x = 5 divide both sides by 2

x = 5/2 (Answer)

or

(x + 2) = 0 subtract 2 from both sides

x = - 2 (Answer)