Question

Given the factors, name the roots. 3. f(x) = -3(2x – 5)(x + 2)

Answer 1

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)