One of the factors of 6x³ - 864x?
a.4
b. x²
c.x+12
d. x-8

Solution:

It is given that

6x³ - 864x

Taking 6x as common 

= 6x (x²) + 6x (-144)

We can write it as :

= 6x (x² - 144)

Using the algebraic identity:

a² - b² = (a + b) (a - b)

= 6x (x + 12) (x - 12

Therefore, the factors of 6x³ − 864x are 6x (x + 12) (x - 12).

One of the factors of 6x³ - 864x?
a.4
b. x²
c.x+12
d. x-8

Summary:

One of the factors of 6x³ - 864x is (x + 12). Hence, option c is correct.