Answer:
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)
