Question

What is the completely factored form of x^3 – 64x?

a) x(x – 8)(x – 8)
b) (x - 4) (x^2 + 4x + 16)
c) x(x – 8)(x + 8)
d) (x – 4)(x + 4)(x + 4)

Answer 1

`x^3 - 64x \\ \\ gcf = x \\ \\ x( (x^3)/(x) + (-64x)/(x) ) \\ \\ x(x^2 - 64) \\ \\ x(x^2 - 8^2) \\ \\ x(x + 8)(x - 8) \\ \\`

The final result is: C) x(x - 8)(x + 8).